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AIKAWA Hiroaki  相川 弘明

ORCIDConnect your ORCID iD *help
… Alternative Names

相川 弘明  アイカワ ヒロアキ

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Researcher Number 20137889
Other IDs
External Links
Affiliation (Current) 2025: 中部大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help 2023: 中部大学, 理工学部, 教授
2018 – 2023: 中部大学, 工学部, 教授
2015 – 2018: 北海道大学, 理学研究院, 教授
2011 – 2016: 北海道大学, 理学(系)研究科(研究院), 教授
2013 – 2014: 北海道大学, 大学院理学研究院, 教授 … More
2013: 北海道大学, 理学研究科, 教授
2007 – 2012: Hokkaido University, 大学院・理学研究院, 教授
2010 – 2011: 北海道大学, 理学研究院, 教授
2009: 北海道大学, 理学研究科, 教授
2007 – 2008: 北海道大学, 大学院・理学研究科, 教授
2006 – 2008: 北海道大学, 理学研究院, 教授
2006: 北海道大学, 大学院理学研究科, 教授
2006: Hokkaido Univ., Fac. of Sci., Professor, 大学院理学研究院, 教授
2005: 北海道大学, 大学院・理学研究科, 教授
1995 – 2004: 島根大学, 総合理工学部, 教授
1994 – 1995: 熊本大学, 理学部, 助教授
1992: 熊本大学, 理学部, 助教授
1991: 群馬大学, 工学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Basic analysis / 解析学 / Basic analysis / Basic Section 12010:Basic analysis-related
Except Principal Investigator
Basic analysis / Basic analysis / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Basic Section 12010:Basic analysis-related … More / Geometry / Geometry / General mathematics (including Probability theory/Statistical mathematics) / Algebra Less
Keywords
Principal Investigator
ポテンシャル / 境界Harnack原理 / Martin境界 / 調和関数 / 調和 / 容量 / Harnack不等式 / グラフ / 一様領域 / 容量密度条件 … More / 容量的幅 / 熱核 / 平均曲率流 / 放物型方程式 / 擬双曲距離 / 調和測度 / Dirichlet解 / John領域 / フラクタル / Carleson評価 / ネットワーク / 負曲率多様体 / 複雑領域 / 熱方程式 / capacity density condition / uniform domain / harmonic function / 関数微分方程式 / ソボレフ関数 / IU / 最小固有値 / 除外集合 / 熱半群 / Brown運動 / 幾何学 / 確率論 / Sierpinski carpet / Harnack原理 / Riemann面 / 極小尖細 / Green関数 / 確率過程 / Denjoy領域 / Fatou定理 / 内部一様領域 / 可積分性 / 境界挙動 / 優調和関数 / ねじり関数 / 単連結領域 / 多様体 / グラフ領域 / 非線形変分問題 / 距離空間 / レブナ-方程式 / 正値解 / 自己相似集合 / 非線形 / 変分問題 / リーマン多様体 / 偏微分方程式 / 函数論 / ポテンシャル解析 / ラプラシアン / カントール集合 / 楕円型境界値問題 / エネルギー / 完備リーマン多様体 / 大域的可積分性 / Dirichlet最小固有値 / 理想境界 / 非線形PDE / parabolic equation / Sobolev function / Dirac equation / Bergman space / harmonic measure / Dirac方程式 / ベルグマン空間 / boundary Harnack principle / convex set / John domain / Martin boundary / Denjoy domain / ボルテラ型微分方程式 / 安定性 / 放物型 / 境界条件 / 整関数 / 漸近挙動 / 境界値 / 時間遅れをもつ方程式 / 多調和関数 / 凸集合 / extremal length / fine topology / capacity / coarea fomula / integrability / superharmonic / harmonic / potential / キャパシティ / マルチン境界 / パーターベーション / 極値的長さ / 細位相 / coarea公式 / 優調和 / 容量密度 / 密度 / 0-1法則 / Harnack連鎖 / ガウス写像 / 擬等角変形空間 / 非線形ネットワーク / 除去可能特異点 / 乗数イデアル / 双曲空間 / 変分公式 / レブナー鎖 / 関数方程式論 / 関数論 / 解析学 / varifold / Sierpinski gasket / 擬等角写像 / Green核 / Allen-Cahn方程式 / Orlicz空間 / 放物型ハルナック不等式 / Markov chain / 正則写像 / Rieszポテンシャル / 半線形楕円型方程式 / Random walk / Klien群 / 放物型偏微分方程式 / 非線形不等式 / conformal dimension / フェイズフィールド法 / Dirichlet問題 / 変動指数 / ヘルダー連続性 / Cauchy積分 / 楕円型作用素の摂動 / 複素解析 / 楕円型方程式 / 実解析 / Holder領域 / 凸関数 / 連続率 / ベゾフ空間 / Lienard系 / 非線形方程式 / Besov空間 / Hausdorff測度 / マルコフ過程 / 楕円型偏微分方程式 … More
Except Principal Investigator
フラクタル / 熱核 / 確率論 / 解析学 / Martin境界 / ポテンシャル論 / ラプラシアン / 正値解 / 楕円型方程式 / リーマン面 / 複素力学系 / Martin boundary / 力学系 / 国際研究者交流 / 数理物理 / 一意性 / 調和関数 / positive solution / サイズ依存 / 個体数変動 / 筋収縮 / 非局所条件 / 擬等角写像 / Hardy's inequality / discrete Laplacian / 離散ラプラシアン / 固有値問題 / 無限ネットワーク / 統計力学 / 複雑系 / タイリング / 確率過程 / 楕円型偏微分方程式 / 拡散過程 / マルチン境界 / 放物型方程式 / タイヒミュラー空間 / ホモクリニック軌道 / Hardyの不等式 / 放物型偏微分方程式 / 熱方程式 / p-Laplacian / Teichmuller space / infinite network / 変分法 / ソボレフ・ポアンカレ不等式 / 双対定理 / 凸計画問題 / fundamental solution / uniqueness / 歪積 / 基本解 / elliptic equation / homoclinic orbit / limit cycle / 漸近挙動 / 自己随伴型非線形微分方程式 / リエナール方程式系 / 極限閉軌道 / population dynamics / muscle contraction / nonlocal / 固体数変動 / 発展方程式 / 境界値 / Riemann surface / ポテンシャル / クライン群 / 倉持ポテンシャル / 離散倉持関数 / finitistic spaces / 距離空間 / 初期値問題 / 自己相似集合 / 複素解析 / ソボレフ関数 / 飛躍型確率過程 / グリーン関数 / モジュライ空間 / Klein群 / 複素射影空間 / 数式処理 / 接続問題 / 積分変換 / 再生核 / 等角次元 / Harnack 不等式 / レヴナー方程式 / ベルトラミ方程式 / シストール / 双曲距離 / タイヒミュラー型定理 / 双曲幾何 / モジュラス距離 / モジュラー方程式 / 係数問題 / 調和写像 / 楕円型作用素 / 非線形レゾルベント / 一様完全 / 擬等角拡張 / 単葉調和函数 / スペクトル / タイヒミュラーの定理 / 平面領域 / モジュラス / 双曲計量 / 4次元多様体論 / 3次元多様体論 / 4次元多様体論 / 3次元多様体論 / 結び目理論 / 4次元多様体 / 3次元多様体 / 低次元トポロジー / Kleinian group / Teichmuller distance / Hyperbolic geometry / Quasiconformal mapping / tiling / energy measure / harmonic function / percolation / self-similar set / heat kerenl / Fractal / 調和解析 / エネルギー測度 / パーコレーション / half-linear differential equation / global asymptotic stability / Lienard system / phase plane analysis / oscillation / 時間遅れをもつ差分方程式系 / homoclinic軌道 / 摂動項 / 解の振動性 / Lienard方程式系 / 被食者・捕食者モデル / p・ラプラシアン / 半分線形微分方程式 / p-ラプラシアン / 大域的漸近安定性 / 相平面解析 / 振動性 / transport equation / time dependent / harvesting / size structured / 非局所非線形成長率 / 輸送方程式 / 時間依存 / 収穫問題 / complementarity problem / integro-difference equations of Voltera's type / Sierpinski Gadket / eigen-value problem / 差分方程式 / ヴォルテラ型差分方程式 / ハルナックの原理 / 離散不等式 / Muscle contraction / Transport equations / Size-dependent / Population models / Nonlocal nonlinear / 定常解 / 筋収縮モデル / 輸送方程式系 / 個体数変動モデル / 非局所非線形 / potential theory / Green function / parabolic equation / 解の一意性 / 非一意性 / complex dynamics / moduli space / pseudoconvex domain / value distribution / Kobayashi hyperbolic manifold / geometric complex analysis / several complex variables / タイヒミューラー空間 / 擬凸領域 / 値分布 / 小林双曲的多様体 / 幾何学的複素解析 / 多変数複素解析 / variational problem / Poincare-Sobolev' inequality / eigenvalue problem / duality theorem / convex programs / 変分問題 / ハーディ不等式 / perturbation theory / Cauchy problem / elliptic PDE / parabolic PDE / 楕円形偏微分方程式 / 摂動論 / self-adjoint equation / Euler equation / Lie^^'nard system / separatrix / Markov過程 / Network / 調和測度 / Carleson測度 / 可積分性 / 非線型 / 放物型 / 境界条件 / 優調和 / 調和 / 整関数 / 時間遅れをもつ方程式 / Dirichlet解 / オイラー型方程式 / 分岐子 / size-dependent / evolution equation / boundary behaviors / Elliptic partical differential equations / quasi-conformal mappings / Complex analysis / Potential theory / だ円型偏微分方程式 / Klein group / Integral transform / numerical / differential equ / inverse problem / reproducing kernel / Analytic function / 偏微分方程式 / 値分布理論 / 等角写像 / 解析関数 / フライン群 / リーセン面 / 数値解析 / 微分方程式 / 逆問題 / 解析性 / discrete Kuramochi boundary / discrete Kuramochi function / Infinite networks / 離散ポテンシャル / 倉持境界 / ヒルベルトネットワーク / 離散ラブラシアン / 離散倉持境界 / complex projective plane / selection / ordered spaces / K-approximation / topological groups / topological dimension / metric spaces / 収束 / 連続写係 / 選択関数 / 順序空間 / K-近似 / 位相群 / 位相次元 / Harnack inequality / Intrinsi metric / Unigueness / Initial value problem / Positive solution / Elliptic PDE / Parabolic PDE / 放物型偏徴分方程式 / Martin 境界 / Harnackの不等式 / 内圧的距離 / Harnactの不等式 / 内在的距離 / Dirichlet form / イギリス:カナダ:ドイツ:韓国:アメリカ / イギリス:カナダ:アメリカ:フランス / イギリス:カナダ:アメリカ:フランス:中国 / くりこみ / ベキ変形,close-to-convex / 正則運動 / リーマン面の退化 / 多国籍 / 国際情報交換 / イギリス:アメリカ:カナダ / 英:米:ドイツ / イギリス:アメリカ:カナダ / イギリス:アメリカ:カナダ:ドイツ / jump process / percolation cluster / Cantor set / Tree / random walk / ジュリア集合 / カナダ:アメリカ:フランス / カナダ:アメリカ:ドイツ / イギリス:ドイツ:ポーランド / 応用数学 / 楕円形方程式 / 漸近解析 / 小摂動性 / 非負値解 / 半小摂動 / 積分表示 / 関数解析学 / 解析・評価 / 関数方程式論 / ハウスドルフ次元 / マルチン核 / 複素構造の変形 / 正則曲線 / 複素多様体 / 函数論 / ネットワーク / リ-3項系 / 概周期解 / 周期解 / 積分方程式 / Lee-Wiener回路 / 標準表現 / ブラウン運動 / ボルテラ型積分作用素 / ガウス過程 / 形式的巾級数解 / S-N分解 / 微分方程式の既約性 / モノドロミ-群 / 超幾何微分方程式系 / フックス型微分方程式 / Sylowの定理 / Erobeniusの定理 / モジュラー表現 / Mackey関手 / Burnside環 / 有限群 / 抽象Burn side 環 / 頂点作用素代数 / モンスター群 / スピンモデル / Dijkgraaf-Witten不変量 / テンソルカテゴリー / TQFT / Heckeカテゴリー / ローレンツ多様体 / ハルナック不等式 / 合流型超幾何関数 / モノドロミー群 / ストークス現象 / ヒルベルト空間 / 解の解析性 / 不等式 / 解析接続 / グリ-ン関数 Less
  • Research Projects

    (50 results)
  • Research Products

    (365 results)
  • Co-Researchers

    (129 People)
  •  容量的幅の負曲率多様体への拡張とその応用Principal Investigator

    • Principal Investigator
      相川 弘明
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Chubu University
  •  Study of Analysis and Geometry of complex spaces

    • Principal Investigator
      KIGAMI JUN
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  Deepening of potential analysis on nonsmooth domains - Applications to PDE and ideal boundaryPrincipal Investigator

    • Principal Investigator
      Aiakwa Hiroaki
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Chubu University
      Hokkaido University
  •  Analysis of elliptic operators and its applications to Geometric Function Theory

    • Principal Investigator
      Sugawa Toshiyuki
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Relation between structure of spaces and analysis

    • Principal Investigator
      KIGAMI JUN
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Anomalous diffusions on disordered media

    • Principal Investigator
      Kumagai Takashi
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
      Kyoto University
  •  Degeneration and collapsing of Kleinian groups; geometry and analysis of the compactification of their defamation spaces

    • Principal Investigator
      Shiga Hiroshige
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto Sangyo University
      Tokyo Institute of Technology
  •  Relation between algebra, geometry and analysis on fractals

    • Principal Investigator
      Kigami Jun
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Stochastic processes on disordered media -- discrete models and their scaling limits

    • Principal Investigator
      Kumagai Takashi
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Potential theory on space complexity and ideal boundaryPrincipal Investigator

    • Principal Investigator
      Aikawa Hiroaki
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Harnack inequalities with dustsPrincipal Investigator

    • Principal Investigator
      Aikawa Hiroaki
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Interaction between areas of Mathematics related to internal structures of fractals

    • Principal Investigator
      KIGAMI Jun
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Markov chains on disordered media and their scaling limits

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Analysis of degenerations and singularities of Kleinian groups and complex dynamics

    • Principal Investigator
      SHIGA Hiroshige
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Research on potential problems from various aspectsPrincipal Investigator

    • Principal Investigator
      AIKAWA Hiroaki
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Aspects of Mathematics on Fractals

    • Principal Investigator
      KIGAMI Jun
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Potential theoretic study of Sobolev functions

    • Principal Investigator
      SHIMOMURA Tetsu
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  非線型方程式の理想境界Principal Investigator

    • Principal Investigator
      相川 弘明
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Developments of the theory of stochastic processes and real analysis on disordered media

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Research on deformations of real and complex manifolds and variations of invariants

    • Principal Investigator
      SHIGA Hiroshige
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Asymptotic analysis of heat kernels and Green functions and its applications

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Aspects of Mathematics on Fractals

    • Principal Investigator
      KIGAMI Jun
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Approach to the qualitative theory of functional equations by phase plane analysis

    • Principal Investigator
      SUGIE J.
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Shimane University
  •  Potential analysisPrincipal Investigator

    • Principal Investigator
      AIKAWA Hiroaki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
      Shimane University
  •  ANALYSIS OF SYSTEMS OF DIFFERENTIAL EQUATIONS HAVING SEVERAL NONLOCAL TERMS AND APPLICATIONS

    • Principal Investigator
      KATO Nobuyuki
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      SHIMANE UNIVERSITY
  •  複雑集合の内と外のポテンシャル解析Principal Investigator

    • Principal Investigator
      相川 弘明
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Shimane University
  •  Integrated Study of Complex Analytic Structure

    • Principal Investigator
      NOGUCHI Junjiro
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  A synthetic study of positive solutions to elliptic and parabolic partial differential equations

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  System of nonlocal nonlinear differential equations and applications

    • Principal Investigator
      KATO Nobuyuki
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Shimane University
  •  Integrated research of the Theory of infinite networks and their applications

    • Principal Investigator
      YAMASAKI Maretsugu
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shimane University
  •  Interdisciplinary research on complicated sets related to functional equationsPrincipal Investigator

    • Principal Investigator
      AKIKAWA Hiroaki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Shimane University
  •  Interdisciplinary research on potential analysis

    • Principal Investigator
      SUGIE Jitsuro
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Shimane University
  •  A versatile study of positive solutions to parabolic and elliptic partial differential equations

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Institute of Technology
  •  Variational Problems on an infinite network and their applications

    • Principal Investigator
      YAMASAKI Maretsugu
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shimane University
  •  Applications of analyticoty of functions

    • Principal Investigator
      SAITOH Saburou
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Basic analysis
    • Research Institution
      Gunma University
  •  Potential the Oretic study on quasi-regular mappings

    • Principal Investigator
      MIZUTA Yoshihiro
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Theory and Applications of Evolution Equations with Nonlocal Conditions

    • Principal Investigator
      KATO Nobuyuki
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Shimane University
  •  Structure of positive solutions to second order elliptic and parabolic partial differential equations

    • Principal Investigator
      MURATA Minoru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Potential theoretic research on elliptic differential equationsPrincipal Investigator

    • Principal Investigator
      AIKAWA H.
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Shimane University
  •  On the research of topological dimension of metric spaces

    • Principal Investigator
      HATTORI Yasunao
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Shimane University
  •  THEORY OF IDEAL BOUNDARIES OF AN INFINITE NETWORK AND ITS APPLICATION

    • Principal Investigator
      YAMASAKI M.
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      SHIMANE UNIVERSITY
  •  積分方程式の解の定性的研究

    • Principal Investigator
      FURUMOCHI T.
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Shimane University
  •  ポテンシャル論の応用Principal Investigator

    • Principal Investigator
      相川 弘明
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Shimane University
  •  ポテンシャル論Principal Investigator

    • Principal Investigator
      相川 弘明
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  ガウス過程の表現と積分方程式

    • Principal Investigator
      櫃田 倍之
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kumamoto University
  •  無限可積分系への有限群論からのアプローチ

    • Principal Investigator
      吉田 知行
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kumamoto University
  •  群論の古典的問題

    • Principal Investigator
      吉田 知行
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kumamoto University
  •  微分方程式の数式処理システムの研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  微分方程式の解の構造の研究

    • Principal Investigator
      河野 實彦
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  偏微分方程式に応用のある解析接続の研究

    • Principal Investigator
      SAITOH Saburou
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gunma University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 Other

All Journal Article Presentation Book

  • [Book] Around the Research of Vladimir Maz'ya III. Analysis and Applications : Beurling's minimum principle and the minimal thinness2010

    • Author(s)
      H..Aikawa(分担執筆)
    • Total Pages
      12
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Book] Around the Research of Vladimir Maz'ya III. Analysis and Applications : Beurling's minimum principle and the minimal thinness2010

    • Author(s)
      H..Aikawa(分担執筆)
    • Total Pages
      12
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] Around the Research of Vladimir Maz'ya III.Analysis and Applications : Beurling's minimum principle and the minimal thinness2010

    • Author(s)
      H.Aikawa(分担執筆)
    • Total Pages
      12
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] 複雑領域上のディリクレ問題-ポテンシャル論の観点から2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Book] 複雑領域上のディリクレ問題-ポテンシャル論の観点から2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Book] 複雑領域上のディリクレ問題-ポテンシャル論の観点から(岩波数学叢書)2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Book] 複雑領域上のディリクレ問題 -ポテンシャル論の観点から2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Book] 複雑領域上のディリクレ問題2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Book] Boundary Harnack principle and the quasihyperbolic boundary condition, in Sobolev Spaces in Mathematics II, Applications in Analysis and Partial Differential Equations2008

    • Author(s)
      相川弘明
    • Total Pages
      12
    • Publisher
      Springer Verlag
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Book] 複雑領域上のディリクレ問題ーポテンシャル論の観点から2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Book] 複雑領域上のディリクレ問題- ポテンシャル論の観点から(岩波数学叢書)2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] Boundary Harnack principle and the quasihyperbolic boundary condition, in Sobolev Spaces in Mathematics II2008

    • Author(s)
      H. Aikawa
    • Publisher
      Springer Verlag
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Book] 複雑領域上のディリクレ問題-ポテンシャル論の観点から(岩波数学叢書)2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] 複雑領域上のディリクレ問題- ポテンシャル論の観点から2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Book] 複雑領域上のディリクレ問題-ポテンシャル論の観点から(岩波数学叢書)2008

    • Author(s)
      相川弘明
    • Total Pages
      302
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Book] 数学辞典 第4版の5項目(調和関数,優(劣)調和関数,ディリクレ問題,ポテンシャル論,容量)2007

    • Author(s)
      相川弘明(分担執筆)
    • Total Pages
      1976
    • Publisher
      日本数学会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Book] Potential Theory in Matsue2006

    • Author(s)
      相川弘明他
    • Total Pages
      413
    • Publisher
      日本数学会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Book] Potential Theory in Matsue2006

    • Author(s)
      相川弘明, 他
    • Total Pages
      413
    • Publisher
      日本数学会
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Book] Potential theory in Matsue, Advanced Studies in Pure Mathematics2004

    • Author(s)
      H. Aikawa, T. Kumagai, Y. Mizuta, N. Suzuki eds.
    • Total Pages
      413
    • Publisher
      Theory held at Shimane University
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Book] 複雑領域上のDirichlet問題(発刊決定)

    • Author(s)
      相川弘明
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Book] 複雑領域上のDirichlet問題

    • Author(s)
      相川弘明
    • Publisher
      岩波書店(発行決定)
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Intrinsic Ultracontractivity for Domains in Negatively Curved Manifolds2021

    • Author(s)
      Aikawa, H., van den Berg, M. & Masamune, J.
    • Journal Title

      Comput. Methods Funct. Theory

      Volume: 21 Issue: 4 Pages: 797-824

    • DOI

      10.1007/s40315-021-00402-8

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03281, KAKENHI-PROJECT-17H01092, KAKENHI-PROJECT-16H03933, KAKENHI-PROJECT-17H01093
  • [Journal Article] Faraday cage principle for convolution capacity and dichotomy of Riesz capacity density2021

    • Author(s)
      H. Aikawa
    • Journal Title

      Rev. Roumaine Math. Pures Appl.

      Volume: 66 Pages: 29-41

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Journal Article] Faraday cage principle for convolution capacity and dichotomy of Riesz capacity density2021

    • Author(s)
      Aikawa, Hiroaki
    • Journal Title

      Rev. Roumaine Math. Pures Appl.

      Volume: 66

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Journal Article] Global integrability of supertemperatures2020

    • Author(s)
      Hiroaki Aikawa, Takanobu Hara, Kentaro Hirata
    • Journal Title

      Math. Z.

      Volume: online Issue: 3-4 Pages: 1049-1063

    • DOI

      10.1007/s00209-020-02467-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01092, KAKENHI-PROJECT-17H02849, KAKENHI-PROJECT-18K03333, KAKENHI-PROJECT-17H01093
  • [Journal Article] Potential theoretic notions related to integrability of superharmonic functions and supertemperatures2019

    • Author(s)
      H. Aikawa
    • Journal Title

      Analysis and Mathematical Physics

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Journal Article] Potential theoretic notions related to integrability of superharmonic functions and supertemperatures2019

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      Analysis and Mathematical Physics

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Journal Article] Potential theoretic notions related to integrability of superharmonic functions and supertemperatures2019

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      Anal. Math. Phys.

      Volume: 9 Issue: 2 Pages: 711-728

    • DOI

      10.1007/s13324-019-00323-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01092, KAKENHI-PROJECT-16H03933, KAKENHI-PROJECT-17H02849, KAKENHI-PROJECT-17H01093
  • [Journal Article] Potential theoretic notions related to integrability of superharmonic functions and supertemperatures2019

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      Analysis and Mathematical Physics

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Journal Article] Dichotomy of global capacity density in metric measure spaces2017

    • Author(s)
      Aikawa Hiroaki、Bj?rn Anders、Bj?rn Jana、Shanmugalingam Nageswari
    • Journal Title

      Advances in Calculus of Variations

      Volume: 未定 Issue: 4 Pages: 387-404

    • DOI

      10.1515/acv-2016-0066

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02847, KAKENHI-PROJECT-17H02849, KAKENHI-PROJECT-17H01092, KAKENHI-PROJECT-16H03933, KAKENHI-PROJECT-17H01093
  • [Journal Article] Construction of a domain that fails the global boundary Harnack principle via the Helmholtz equation2016

    • Author(s)
      H. Aikawa
    • Journal Title

      J. London Math. Soc.

      Volume: 93 Issue: 3 Pages: 721-740

    • DOI

      10.1112/jlms/jdw016

    • NAID

      120006313413

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Journal Article] Dichotomy of global density of Riesz capacity2016

    • Author(s)
      H. Aikawa
    • Journal Title

      Studia Math.

      Volume: 232 Pages: 267-278

    • DOI

      10.4064/sm8511-4-2016

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25287015, KAKENHI-PROJECT-26287017, KAKENHI-PROJECT-25247007, KAKENHI-PROJECT-16H03933
  • [Journal Article] Construction of a domain which fails the global boundary Harnack principle via the Helmholtz equation2016

    • Author(s)
      Hiroak Aikawa
    • Journal Title

      J. London Math. Soc.

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Journal Article] Construction of a domain which fails the global boundary Harnack principle via the Helmholtz equation2016

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      J. London Math. Soc.

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Journal Article] Dichotomy of global capacity density2015

    • Author(s)
      H. Aikawa and T. Itoh
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 未定

    • NAID

      120005682128

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Journal Article] Intrinsic ultracontractivity via capacitary width2015

    • Author(s)
      H. Aikawa
    • Journal Title

      Rev. Mat. Iberoamericana

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Journal Article] Intrinsic ultracontractivity via capacitary width, to appear in Rev. Mat. Iberoamericana2015

    • Author(s)
      H. Aikawa
    • Journal Title

      Rev. Mat. Iberoamericana

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Journal Article] Intrinsic ultracontractivity via capacitary width2015

    • Author(s)
      H. Aikawa
    • Journal Title

      Rev. Mat. Iberoamericana

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Journal Article] Intrinsic ultracontractivity via capacitary width2015

    • Author(s)
      H. Aikawa
    • Journal Title

      Rev. Mat. Iberoamericana

      Volume: 31 Issue: 3 Pages: 1041-1106

    • DOI

      10.4171/rmi/863

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Journal Article] Dichotomy of global capacity density2015

    • Author(s)
      H. Aikawa and T. Itoh
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 印刷中

    • NAID

      120005682128

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Journal Article] Dichotomy of global capacity density2015

    • Author(s)
      H. Aikawa and T. Itoh
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 掲載予定

    • NAID

      120005682128

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2014

    • Author(s)
      H. Aikawa
    • Journal Title

      J. Anal. Math.

      Volume: 124 Issue: 1 Pages: 83-116

    • DOI

      10.1007/s11854-014-0028-3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287015, KAKENHI-PROJECT-25610017, KAKENHI-PROJECT-25247007
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2014

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      J. Anal. Math

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle.2014

    • Author(s)
      H. Aikawa
    • Journal Title

      J. Anal. Math.

      Volume: 掲載確定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2014

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      J. Anal. Math.

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2013

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      J. Anal. Math.

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2013

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      to appear in Journal d' Analyse Mathematique

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Journal Article] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc.

      Volume: 42, 5 Pages: 857-867

    • NAID

      120006459640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Journal Article] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      H. Aikawa
    • Journal Title

      Bull. London Math. Soc. 42

      Pages: 857-867

    • NAID

      120006459640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Modulus of continuity of the Dirichlet solutions, Bull2010

    • Author(s)
      H. Aikawa
    • Journal Title

      London Math. Soc

      Volume: 42 Issue: 5 Pages: 857-867

    • DOI

      10.1112/blms/bdq040

    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-22340017
  • [Journal Article] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc.

      Volume: 42 Pages: 857-867

    • NAID

      120006459640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Journal Article] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc.

      Volume: 42 Pages: 857-867

    • NAID

      120006459640

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Boundary Harnaok principle and the quasihyperbolic Boundary condition.2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Applications in Analysis and Partial Differential Equations

      Pages: 19-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate.2008

    • Author(s)
      Aikawa, Hiroaki
    • Journal Title

      Math. Scand. 103

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Journal Article] Doubling conditions for harmonic measure in John domains.2008

    • Author(s)
      H. Aikawa, K. Hirata
    • Journal Title

      Ann. Inst. Fourier (Grenoble) 58

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scad. 103, 1

    • NAID

      120006459465

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carlesonestimate2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scand. 103, 1

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Hirata, Doubling conditions for harmonic measure in John domains, Ann2008

    • Author(s)
      H. Aikawa, K
    • Journal Title

      Inst. Fourier (Grenoble)

      Volume: 58(2) Issue: 2 Pages: 429-445

    • DOI

      10.5802/aif.2357

    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      H.Aikawa
    • Journal Title

      Math.Scad. 103

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scand. 103

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      相川弘明
    • Journal Title

      Math. Scad 103

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Doubling conditions for harmonic measure in John domains2008

    • Author(s)
      H. Aikawa and K. Hirata
    • Journal Title

      Ann. Inst. Fourier (Grenoble) 58(2)

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scad. 103,1

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scand 103

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Journal Article] Doubling conditions for harmonic measure in John domains2008

    • Author(s)
      H. Aikawa and K. Hirata
    • Journal Title

      Ann. Inst. Fourier (Grenoble) 58, 2

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Doubling conditions for harmonic measure in john domains2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Ann. Inst. Fourier(Grenoble). 58

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Journal Article] Doubling conditions for harmonic measure in John domains2008

    • Author(s)
      H. Aikawa and K. Hirata
    • Journal Title

      Ann. Inst. Fourier (Grenoble) 58

    • NAID

      120006459500

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scand.(to appear)

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Journal Article] Doubling conditions for harmonic measure in John domains2008

    • Author(s)
      H. Aikawa, K. Hirata
    • Journal Title

      Ann. Inst. Fourier (Grenoble) 58(2)

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      Mathematica Scandinavica 103

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Doubling conditions for harmonic measure in John domains2008

    • Author(s)
      H. Aikawa, K. Hirata
    • Journal Title

      Ann. Inst. Fourier 58,2

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Doubling conditions for harmonic measure in John domains2008

    • Author(s)
      H.Aikawa, K.Hirata
    • Journal Title

      Ann.Inst.Fourier(Grenoble) 58

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate.2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scand. 103

      Pages: 61-76

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Boundary Harnack principle and the quasihyperbolic boundary condition2008

    • Author(s)
      H. Aikawa
    • Journal Title

      in Sobolev Spaces in Mathematics II, Applications in Analysis and Partial Differential Equations, Springer Verlag

      Pages: 19-30

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Doubling conditions for harmonic measure in john domains2008

    • Author(s)
      H. Aikawa and K. Hirata
    • Journal Title

      Ann. Inst. Fourier 58no.1

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Doubling conditions for harmonic measure in John domains2008

    • Author(s)
      相川弘明, 平田賢太郎
    • Journal Title

      Ann. Inst. Fourier (Grenoble) 58

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Doubling conditions for harmonic measure in John domains2008

    • Author(s)
      H. Aikawa and K. Hirata
    • Journal Title

      Ann. Inst. Fourier (Grenoble) 58(2)

      Pages: 429-445

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2008

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scand

      Volume: 103 Pages: 61-76

    • NAID

      120006459465

    • URL

      http://www.mscand.dk/article.php?id=3104

    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Boundary Harnack principle for $p$-harmonic functions in smooth Euclidean domains.2007

    • Author(s)
      Aikawa, Hioaki, その他
    • Journal Title

      Potential Anal. 26

      Pages: 281-301

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains2007

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      Potential Analysis

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2007

    • Author(s)
      H.Aikawa
    • Journal Title

      Math. Scand.

    • NAID

      120006459465

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains,2007

    • Author(s)
      H. Aikawa, et. al.
    • Journal Title

      Potential Analysis 26

      Pages: 281-301

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains2007

    • Author(s)
      H. Aikawa, T. Kilpelainen, N. Shanmugalingam, and X. Zhong
    • Journal Title

      Potential Anal. 26, 3

      Pages: 281-301

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate2007

    • Author(s)
      H.Aikawa
    • Journal Title

      Math. Scand. (to appear)

    • NAID

      120006459465

    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate.2007

    • Author(s)
      H.Aikawa
    • Journal Title

      Math. Scand. (掲載確定)

    • NAID

      120006459465

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains2007

    • Author(s)
      H. Aikawa, T. Kilpelainen, N. Shanmugalingam, X. Zhong
    • Journal Title

      Potential Anal. 26,3

      Pages: 281-301

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains2007

    • Author(s)
      H. Aikawa, T. Kilpelainen, N.Shanmugalingam. X. Zhong
    • Journal Title

      Potential Anal 26

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains.2007

    • Author(s)
      H. Aikawa, T. Kilpelainen, N. Shanmugalingam, X. Zhong
    • Journal Title

      Potential Anal. 26・3

      Pages: 281-301

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Boundary Harnack principle for ρ-harmonic functions in smooth Euclidean domains2007

    • Author(s)
      H. Aikawa, et. al.
    • Journal Title

      Potential Analysis 26

      Pages: 281-301

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains2007

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      Potential Analysis (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Encyclopedia on Mathematics Ver 4; 5 items (harmonic functions, su- per(sub)harmonic functions, Dirichlet problem, potential theory, capacity2007

    • Author(s)
      H.Aikawa (partly writing)
    • Journal Title

      Iwanami Shoten

      Pages: 1976-1976

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains2007

    • Author(s)
      H.Aikawa
    • Journal Title

      Potential Analysis

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Equivalence between the boundary Hamack principle and the Carleson estimate2007

    • Author(s)
      H.Aikawa
    • Journal Title

      Math. Scand.

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains2007

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      Potential Analysis 26

      Pages: 281-301

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Martin boundary points of a John domain and unions of convex sets2006

    • Author(s)
      H. Aikawa, K. Hirata and T. Lundh
    • Journal Title

      J. Math. Soc. Japan 58

    • NAID

      10017178462

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Holder estimates of p-harmonic extension operators2006

    • Author(s)
      H. Aikawa, N. Shanmugalingam
    • Journal Title

      J. Differential Equations 220,1

      Pages: 18-45

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Potential Theory in Matsue2006

    • Author(s)
      H.Aikawa, et al.
    • Journal Title

      Math. Soc. Japan

      Pages: 413-413

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Characterization of a uniform domain by the boundary harnack principle2006

    • Author(s)
      H.Aikawa
    • Journal Title

      Harmonic Analysis and its Applications

      Pages: 1-17

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Holder estimates of p-harmonic extension operators2006

    • Author(s)
      H. Aikawa and N. Shanmugalingam
    • Journal Title

      J. Differential Equations 220

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Characterization of a uniform domain by the boundary Harnack principle2006

    • Author(s)
      H.Aikawa
    • Journal Title

      Harmonic Analysis and its Applications

      Pages: 1-17

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Martin boundary points of a John domain and unions of convex sets.2006

    • Author(s)
      Aikawa, Hiroaki, その他
    • Journal Title

      J. Math, Soc. Japan 58

      Pages: 247-274

    • NAID

      10017178462

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Martin boundary points of a John domain and unions of convex sets.2006

    • Author(s)
      H.Aikawa, K.Hirata, T.Lundh
    • Journal Title

      J. Math. Soc. Japan 58・1

      Pages: 247-274

    • NAID

      10017178462

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Martin boundary points of John domains and unions of convex sets2006

    • Author(s)
      H.Aikawa
    • Journal Title

      J.Math.Soc.Japan 58

      Pages: 247-273

    • NAID

      10017178462

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Martin boundary points of John domains and unions of convex sets2006

    • Author(s)
      H.Aikawa, K.Hirata, T.Lundh
    • Journal Title

      J. Math. Soc. Japan 58, 1

      Pages: 247-273

    • NAID

      10017178462

    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Holder estimates of $p$-harmonic extension operators.2006

    • Author(s)
      Aikawa, Hiroaki, その他
    • Journal Title

      J. Differential Equations. 220

      Pages: 18-45

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Holder estimates of p-harmonic extension operators2006

    • Author(s)
      H.Aikawa
    • Journal Title

      J.Differential Equations 220

      Pages: 18-45

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Holder estimates of p-harmonic extension operators2006

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      J. Differential Equations 220

      Pages: 18-45

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Characterization of a uniform domain by the boundary Harnack principle. Harmonic analysis and its applications,2006

    • Author(s)
      Aikawa, Hiroaki
    • Journal Title

      Yokohama Publ., Yokohama

      Pages: 1-17

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Martin boundary points of a John domain and unions of convex sets2006

    • Author(s)
      H. Aikawa, K. Hirata, T. Lundh
    • Journal Title

      J. Math. Soc. Japan 58,1

      Pages: 247-274

    • NAID

      10017178462

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Journal Article] Martin boundary and boundary Harnack principle for non-smooth domains2005

    • Author(s)
      H.Aikawa
    • Journal Title

      Amer. Math. Transl. (2) 215

      Pages: 33-55

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Carleson-type estimates for p-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces2005

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      Michigan Math. J. 53

      Pages: 165-188

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] The 3G inequality for a uniformly John domain2005

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Math. J. (掲載予定)

    • NAID

      130003574484

    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] The 3G inequality for a uniformly John domain2005

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Math.J. 28

      Pages: 209-219

    • NAID

      130003574484

    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] The 3G inequality for a uniformly John domain2005

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Math.J. 28

      Pages: 209-219

    • NAID

      130003574484

    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Carleson-type estimates for p-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces2005

    • Author(s)
      H.Aikawa, Skanmugalingam
    • Journal Title

      Michigan Math.J. 53

      Pages: 165-188

    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] The 3G inequality for a uniformly John domain2005

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Math. J. 28

      Pages: 209-219

    • NAID

      130003574484

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Martin boundary and boundary Harnack principle for non-smooth domains2005

    • Author(s)
      H.Aikawa
    • Journal Title

      Amer.Math.Transl. 215

      Pages: 33-55

    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] The 3G inequality for a uniformly John domain2005

    • Author(s)
      H.Aikawa
    • Journal Title

      Kodai Math.J. 28

      Pages: 209-219

    • NAID

      130003574484

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Martin boundary and boundary Harnack principle for non-smooth domains2005

    • Author(s)
      H.Aikawa
    • Journal Title

      Amer.Math.Transl.(2) 215

      Pages: 33-55

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Martin boundary and boundary Hamack principle for non-smooth domains2005

    • Author(s)
      H.Aikawa
    • Journal Title

      Amer. Math. Transl. (2), 215

      Pages: 33-55

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Carleson-type estimates for p-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces2005

    • Author(s)
      H.Aikawa
    • Journal Title

      Michigan Math.J. 53

      Pages: 165-188

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Potential-theoretic characterizations of nonsmooth domains2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc. 36

      Pages: 469-482

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Potential-theoretic characterizations of nonsmooth domains2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull. London Math. Soc. 36

      Pages: 469-482

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Potential-theoretic characterizations of nonsmooth domains2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc. 36

      Pages: 469-482

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Fatou and Littlewood theorems for Poisson integrals with respect to non-integrable kernels2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Complex Variables Theory Appl. 49

      Pages: 511-528

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Fatou and Littlewood theorems for Poisson integrals with respect to non-integrable kernels2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Complex Variables Theory and Application Vol.49,No.7-9

      Pages: 511-528

    • Data Source
      KAKENHI-PROJECT-16540152
  • [Journal Article] Fatou and Littlewood theorems for Poisson integrals with respect to non-integrable kernels2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Complex Variables Theory Appl. 49

      Pages: 511-528

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Potential-theoretic characterizations of nonsmooth domains2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc. 36

      Pages: 469-482

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Potential theoretic characterizations of nonsmooth domains2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull. London Math. Soc. 36

      Pages: 469-482

    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Fatou and Littlewood theorems for Poisson integrals with respect to non integrable kernels2004

    • Author(s)
      H.Aikawa
    • Journal Title

      Complex Variables Theory Appl. 49

      Pages: 511-528

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Potential-theoretic characterizations of nonsmooth domains2004

    • Author(s)
      H.Aikawa
    • Journal Title

      The Bulletin of the London Mathematical Society Vol.36,No.4

      Pages: 469-482

    • Data Source
      KAKENHI-PROJECT-16540152
  • [Journal Article] Martin boundary of a fractal domain2003

    • Author(s)
      H.Aikawa, T.Lundh, T.Mizutani
    • Journal Title

      Potential Anal. 18

      Pages: 311-357

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] 複雑領域のMartin境界と境界Harnack原理2003

    • Author(s)
      相川弘明
    • Journal Title

      数学 55

      Pages: 1-19

    • NAID

      10013701371

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Martin boundary of complicated domain and Harnack principle(in Japanese)2003

    • Author(s)
      H.Aikawa
    • Journal Title

      Sugaku 55

      Pages: 1-19

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Positive harmonic functions of finite order in a Denjoy type domain2003

    • Author(s)
      H.Aikawa
    • Journal Title

      Proc.Amer.Math.Soc. 131

      Pages: 3873-3881

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Positive harmonic functions of finite order in a Denjoy type domain2003

    • Author(s)
      H.Aikawa
    • Journal Title

      Proc. Amer. Math. Soc. 131

      Pages: 3873-3881

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] 複雑領域のMartin境界と境界Harnack原理2003

    • Author(s)
      相川 弘明
    • Journal Title

      数学 55

      Pages: 1-19

    • NAID

      10013701371

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Martin boundaries and boundary Harnack principle for non-smooth domains (in Japanese)2003

    • Author(s)
      H.Aikawa
    • Journal Title

      Sugaku 55

      Pages: 1-19

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Martin boundary of a fractal domain2003

    • Author(s)
      H.Aikawa, T.Lundh, T.Mizutani
    • Journal Title

      Potential Anal. 18

      Pages: 311-357

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Holder continuity of the Dirichlet solution for a general domain2002

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc. 34

      Pages: 691-702

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] ポテンシャル論とその周辺2002

    • Author(s)
      相川弘明
    • Journal Title

      数理解析研究所講究録1293(編集) 1293

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Boundary Harnack principle and Martin boundary for a uniform domain2001

    • Author(s)
      H.Aikawa
    • Journal Title

      J.Math.Soc.Japan 53

      Pages: 119-145

    • NAID

      10006654484

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440042
  • [Journal Article] Boundary Harnack principle and Martin boundary for a uniform domain2001

    • Author(s)
      H.Aikawa
    • Journal Title

      J.Math.Soc.Japan 53

      Pages: 119-145

    • NAID

      10006654484

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] The 3G inequality for a uniformly John domain

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Math.J. (発表予定)

    • NAID

      130003574484

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Modulus of continuity of the lirichlet solutions

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc. (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle, J.Anal

    • Author(s)
      H. Aikawa
    • Journal Title

      Math

      Volume: (掲載決定)

    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] The 3G inequality for a uniformly John domain

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Math.J. (to appear)

    • NAID

      130003574484

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Carleson type estimates for pharmonic functions and the conformal Martin boundary of John domains in metric measure spaces

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      Michigan Math.J. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Doubling conditions for harmonic measure in john domains

    • Author(s)
      H. Aikawa and K. Hirata
    • Journal Title

      Ann. Inst. Fourier (Grenoble) (掲載決定)

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Carleson type estimates for p-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      The Michigan Mathematical Journal 印刷中

    • Data Source
      KAKENHI-PROJECT-16540152
  • [Journal Article] The 3G inequality for a uniformly John domain

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Math.J. (to appear)

    • NAID

      130003574484

    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Carleson tyoe estimates for p-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      Michigan Math.J. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Holder estimates of ρ-harmonic extension operators

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      J.Differential Equations (発表予定)

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Boundary Harnack principle for p-harmonic functions in smooth Euclidean domains

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      Potential Analysis (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scand. (掲載決定)

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Carleson type estimates for p-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces

    • Author(s)
      H.aikawa, N.Shanmugalingam
    • Journal Title

      Michigan Math.J. (to appear)

    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate

    • Author(s)
      Hiroaki Aikawa
    • Journal Title

      Math. Scand. (掲載決定)

    • NAID

      120006459465

    • Data Source
      KAKENHI-PROJECT-17340034
  • [Journal Article] Doubling conditions for harmonic measure in John domains.

    • Author(s)
      H. Aikawa, K. Hirata
    • Journal Title

      Ann. Inst. Fourier (Grenoble) (掲載決定)

    • NAID

      120006459500

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] The 3G inequality for a uniformly John domain

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Mathematical Journal 印刷中

    • NAID

      130003574484

    • Data Source
      KAKENHI-PROJECT-16540152
  • [Journal Article] Holder estimates of p-harmonic extension operators

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      Journal of Differential Equations 印刷中

    • Data Source
      KAKENHI-PROJECT-16540152
  • [Journal Article] Modulus of continuity of the {irichlet solutions

    • Author(s)
      H.Aikawa
    • Journal Title

      Bull.London Math.Soc. (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Journal Article] The 3G inequality for a uniformly John domain

    • Author(s)
      H.Aikawa, T.Lundh
    • Journal Title

      Kodai Math.J. (to appear)

    • NAID

      130003574484

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304009
  • [Journal Article] Equivalence between the boundary Harnack principle and the Carleson estimate.

    • Author(s)
      H. Aikawa
    • Journal Title

      Math. Scand. (掲載決定)

    • NAID

      120006459465

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle

    • Author(s)
      H. Aikawa
    • Journal Title

      J. Anal. Math

      Volume: (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Journal Article] Extended Harnack inequali- ties with exceptional sets and a boundary Harnack principle

    • Author(s)
      H. Aikawa
    • Journal Title

      J. Anal. Math.

      Volume: (to appear)

    • URL

      http://www.math.sci.hokudai.ac.jp/~aik/research/AikawaPapers/ehi.pdf

    • Data Source
      KAKENHI-PROJECT-22340017
  • [Journal Article] Carleson type estimates for ρ-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces

    • Author(s)
      H.Aikawa, N.Shanmugalingam
    • Journal Title

      Michigan Math.J. (発表予定)

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Presentation] Intrinsic ultracontractivity for planar domains with wide access property2024

    • Author(s)
      相川弘明
    • Organizer
      日本数学会,2024年度年会
    • Data Source
      KAKENHI-PROJECT-21K03281
  • [Presentation] Elliptic and parabolic boundary Harnack principles via Harnack inequality admitting exceptional set2023

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis and geometry of fractals and metric spaces - Recent developments and future prospects,Bankoku Shinryokan, Okinawa
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03281
  • [Presentation] 複雑領域のポテンシャル解析2023

    • Author(s)
      相川弘明
    • Organizer
      RIMS研究集会「関数空間論とその周辺」, 京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03281
  • [Presentation] Intrinsic Ultracontractivity for domains in negatively curved manifolds2022

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis on Metric Spaces, Workshop 2022 OIST, Okinawa
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03281
  • [Presentation] Intrinsic Ultracontractivity for domains in negatively curved manifolds2022

    • Author(s)
      相川 弘明
    • Organizer
      Analysis on Metric Spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] 複雑領域に対する境界値問題2021

    • Author(s)
      相川弘明
    • Organizer
      微分方程式の総合的研究
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Intrinsic Ultracontractivity for domains in negatively curved manifolds2021

    • Author(s)
      相川弘明
    • Organizer
      Workshop on potential theory and complex analysis - In memory of Professor Hiroaki Masaoka - 京都産業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Intrinsic Ultracontractivity for domains in negatively curved manifolds2021

    • Author(s)
      Aikawa Hiroaki
    • Organizer
      Workshop on potential theory and complex analysis - In memory of Professor Hiroaki Masaoka
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] 複雑領域に対する境界値問題2021

    • Author(s)
      相川弘明
    • Organizer
      微分方程式の総合的研究(日本数学会 函数方程式論分科会)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Intrinsic Ultracontractivity for domains in negatively curved manifolds2021

    • Author(s)
      Aikawa, H., van den Berg, M. & Masamune, J.
    • Organizer
      日本数学会
    • Data Source
      KAKENHI-PROJECT-21K03281
  • [Presentation] Intrinsic Ultracontractivity for domains in negatively curved manifolds2021

    • Author(s)
      Aikawa, H., van den Berg, M. & Masamune, J.
    • Organizer
      東京工業大学・談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03281
  • [Presentation] Intrinsic Ultracontractivity for domains in negatively curved manifolds2021

    • Author(s)
      相川弘明
    • Organizer
      東京工業大学・大岡山談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Global integrability of supertemperatures and intrinsic ultracontractivity2020

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Analysis Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Global integrability of supertemperatures and intrinsic ultracontractivity2020

    • Author(s)
      Aikawa Hiroaki
    • Organizer
      Analysis Seminar, University College Dublin
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Global integrability of supertemperatures and intrinsic ultracontractivity2020

    • Author(s)
      相川弘明
    • Organizer
      Analysis Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] 複雑シリンダー上の熱方程式の正値優解の可積分性2019

    • Author(s)
      Aikawa Hiroaki
    • Organizer
      早稲田大学応用解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] 複雑シリンダー上の熱方程式の正値優解の可積分性2019

    • Author(s)
      相川弘明
    • Organizer
      応用解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Potential theoretic notions related to integrability of superharmonic functions and supertemperatures2019

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Potential Analysis and its Related Fields 2019, Hokkaido University, Hokkaido, Japan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] 複雑シリンダー上の熱方程式の正値優解の可積分性2019

    • Author(s)
      相川弘明
    • Organizer
      第89回岐阜数理科学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] 複雑シリンダー上の熱方程式の正値優解の可積分性2019

    • Author(s)
      相川弘明
    • Organizer
      第89回岐阜数理科学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Global integrability of supertemperatures2018

    • Author(s)
      Aikawa Hiroaki
    • Organizer
      International Conference on Complex Analysis, Potential Theory and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis Seminar (Unviersity of Padova, Italy)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Global integrability of supertemperatures and related notions in potential theory2018

    • Author(s)
      Aikawa Hiroaki
    • Organizer
      The 13th HU and SNU Symposium on Mathematics,Probability and Functional Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Global integrability of supertemperatures on a John cylinder2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      2nd Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas (Kyoto University, Japan)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Parabolic and Elliptic Boundary Behavior on a Non-Smooth Domain2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, National Taiwan University,Taiwan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Global integrability of supertemperatures2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      International Conference on Complex Analysis, Potential Theory and Applications, Dublin, Ireland
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Parabolic and Elliptic Boundary Behavior on a Non-Smooth Domain2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (National Taiwan University, Taiwan)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Global integrability of superharmonic functions and supertemperatures2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis Seminar (Unviersity College Cork, Ireland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H02847
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis and Geometry Seminars (Unviersity of Bristol, UK)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Global integrability of supertemperatures and related notions in potential theory2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      The 13th HU and SNU Symposium on Mathematics,Probability and Functional Analysis, Hokkaido University, Hokkaido, Japan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis and Geometry Seminars, Unviersity of Bristol, UK
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      London Analysis and Probability Seminar (Imperial College, UK)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Global integrability of supertemperatures2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      International Conference on Complex Analysis, Potential Theory and Applications (Dublin, Ireland)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis Seminar, Unviersity of Padova, Italy
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis Seminar (Unviersity of Padova, Italy)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H02847
  • [Presentation] Global integrability of supertemperatures and related notions in potential theory2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      The 13th HU and SNU Symposium on Mathematics,Probability and Functional Analysis, (Hokkaido University, Japan)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Global integrability of supertemperatures and related notions in potential theory2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      The second Interdisciplinary and Research Alumni Symposium iJaDe2018, (Osaka University, Japan)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      London Analysis and Probability Seminar, Imperial College, UK
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      London Analysis and Probability Seminar (Imperial College, UK)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis and Geometry Seminars (Unviersity of Bristol, UK)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H02847
  • [Presentation] Global integrability of supertemperatures and related notions in potential theory2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      The second Interdisciplinary and Research Alumni Symposium iJaDe2018, Osaka University, Osaka, Japan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Global integrability of superharmonic functions and supertemperatures2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis Seminar, Unviersity College Cork, Ireland
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Global integrability of superharmonic functions and supertemperatures2018

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis Seminar (Unviersity College Cork, Ireland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Capacitary width and its applications to parabolic and elliptic boundary behavior2018

    • Author(s)
      H. Aikawa
    • Organizer
      London Analysis and Probability Seminar (Imperial College, UK)
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H02847
  • [Presentation] Global integrability of supertemperatures2018

    • Author(s)
      H. Aikawa
    • Organizer
      International Conference on Complex Analysis, Potential Theory and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Parabolic and Elliptic Boundary Behavior on a Non-Smooth Domain2018

    • Author(s)
      Aikawa Hiroaki
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Global integrability of supertemperatures on a John cylinder2018

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      2nd Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas, Kyoto University, Kyoto, Japan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      H. Aikawa
    • Organizer
      Complex and Harmonic Analysis III (Holon Institute of Technology, Israel)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02847
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      相川 弘明
    • Organizer
      Probability and Analysis 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      H. Aikawa
    • Organizer
      Complex and Harmonic Analysis III, Holon Institute of Technology, Israel
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Faraday cage principle for convolution capacity and dichotomy of Riesz capacity density2017

    • Author(s)
      相川弘明
    • Organizer
      複素解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      H. Aikawa
    • Organizer
      Complex and Harmonic Analysis III (Holon Institute of Technology, Israel)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      H. Aikawa
    • Organizer
      Probability and Analysis 2017 (Banach Center, Poland)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02847
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      H. Aikawa
    • Organizer
      Probability and Analysis 2017, Banach Center, Poland
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Principal frequency of an arbitrary domain and Intrinsic Ultracontractivity of the heat kernel2017

    • Author(s)
      相川弘明
    • Organizer
      第33回 東北複素解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      H. Aikawa
    • Organizer
      Complex and Harmonic Analysis III (Holon Institute of Technology, Israel)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      H. Aikawa
    • Organizer
      Probability and Analysis 2017 (Banach Center, Poland)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Dichotomy of global capacity density2017

    • Author(s)
      H. Aikawa
    • Organizer
      Probability and Analysis 2017 (Banach Center, Poland)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Boundary Harnack Principle and smoothness of the domain2016

    • Author(s)
      H. Aikawa
    • Organizer
      XVIIIth Conference on Analytic Functions and Related Topics
    • Place of Presentation
      Chelm (Poland)
    • Year and Date
      2016-06-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Boundary Harnack Principle and smoothness of the domain2016

    • Author(s)
      H. Aikawa
    • Organizer
      XVIIIth Conference on Analytic Functions and Related Topics
    • Place of Presentation
      ヘウム(ポーランド)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Dichotomy of global capacity density2016

    • Author(s)
      H. Aikawa
    • Organizer
      The 14th Romanian-Finnish Seminar
    • Place of Presentation
      ブカレスト(ルーマニア)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Minimal smoothness for the global boundary Harnack principle2016

    • Author(s)
      H. Aikawa
    • Organizer
      3rd Workshop on Probability Theory and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Minimal smoothness for the global boundary Harnack principle2016

    • Author(s)
      H. Aikawa
    • Organizer
      Third Workshop on Probability Theory and its Applications
    • Place of Presentation
      ソウル(韓国)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Dichotomy of global capacity density2016

    • Author(s)
      H. Aikawa
    • Organizer
      International Conference on Complex Analysis and Related Topics, The 14th Romanian-Finnish Seminar (Plenary Talk)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Boundary Harnack Principle and smoothness of the domain2016

    • Author(s)
      H. Aikawa
    • Organizer
      XVIIIth Conference on Analytic Functions and Related Topics (Pleanary Talk)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03933
  • [Presentation] Dichotomy of global capacity density2016

    • Author(s)
      H. Aikawa
    • Organizer
      International Conference on Complex Analysis and Related Topics
    • Place of Presentation
      Bucharest(Romania)
    • Year and Date
      2016-06-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Minimal smoothness for the global boundary Harnack principle2016

    • Author(s)
      H. Aikawa
    • Organizer
      3rd Workshop on Probability Theory and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Boundary Harnack Principle and smoothness of the domain2016

    • Author(s)
      H. Aikawa
    • Organizer
      XVIIIth Conference on Analytic Functions and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Elliptic and parabolic boundary Harnack principles for nonsmooth domains2015

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      PDEs, Potential Theory, and Function Spaces
    • Place of Presentation
      リンショーピング(スウェーデン)
    • Year and Date
      2015-06-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Elliptic and parabolic boundary Harnack principles for nonsmooth domains2015

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      PDEs, Potential Theory, and Function Space
    • Place of Presentation
      Linkopings大学、Linkopings, Sweden
    • Year and Date
      2015-06-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Dichotomy of global capacity density2015

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Analysseminarium, Chalmers University
    • Place of Presentation
      ヨーテボリ(スウェーデン)
    • Year and Date
      2015-06-12
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Dichotomy of global capacity density2015

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Analysseminarium, Chalmers University
    • Place of Presentation
      ヨーテボリ(スウェーデン)
    • Year and Date
      2015-06-12
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Elliptic and parabolic boundary Harnack principles for nonsmooth domains, PDEs2015

    • Author(s)
      H. Aikawa
    • Organizer
      Potential Theory, and Function Spaces
    • Place of Presentation
      リンショーピング (Sweden)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Construction of a domain which fails to satisfy the global boundary Harnack principle with the aid of the Helmholtz equation2015

    • Author(s)
      相川弘明
    • Organizer
      日本数学会年会
    • Place of Presentation
      明治大学駿河台キャンパス(東京都千代田区)
    • Year and Date
      2015-03-23
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Boundary Harnack Principles on a domain given by a graph2015

    • Author(s)
      相川弘明
    • Organizer
      首都大学東京・数理解析セミナー
    • Place of Presentation
      首都大学東京(東京都・八王子市)
    • Year and Date
      2015-11-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Dichotomy of global capacity density, Analysseminarium2015

    • Author(s)
      H. Aikawa
    • Organizer
      Analysseminarium, チャルマーシュ大学
    • Place of Presentation
      ヨーテボリ (Sweden)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Elliptic and parabolic boundary Harnack principles for nonsmooth domains2015

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      PDEs, Potential Theory, and Function Spaces
    • Place of Presentation
      リンショーピング(スウェーデン)
    • Year and Date
      2015-06-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Boundary Harnack Principles on a domain given by a graph2015

    • Author(s)
      相川弘明
    • Organizer
      首都大学東京・数理解析セミナー
    • Place of Presentation
      首都大学東京(東京都・八王子市)
    • Year and Date
      2015-11-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      相川弘明
    • Organizer
      第16回金沢解析セミナー
    • Place of Presentation
      金沢大学(金沢市)
    • Year and Date
      2014-06-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      H. Aikawa
    • Organizer
      7th International Conference on Stochastic Analysis and its Applications; Seoul National University
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2014-08-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      相川弘明
    • Organizer
      第107回熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学大学院自然科学研究科黒髪南キャンパス(熊本市中央区)
    • Year and Date
      2014-07-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] xtended Harnack inequalities with exceptional sets and its applications2014

    • Author(s)
      H. Aikawa
    • Organizer
      The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications; Dongguk University
    • Place of Presentation
      Gyeongju(韓国)
    • Year and Date
      2014-08-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      H. Aikawa
    • Organizer
      7th International Conference on Stochastic Analysis and its Applications
    • Place of Presentation
      Seoul National University, Seoul, Korea
    • Year and Date
      2014-08-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Extended Harnack inequalities with exceptional sets and its applications2014

    • Author(s)
      H. Aikawa
    • Organizer
      The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
    • Place of Presentation
      Dongguk大学(韓国)
    • Year and Date
      2014-08-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      相川弘明
    • Organizer
      第16回金沢解析セミナー
    • Place of Presentation
      金沢大学自然科学5号館(石川県金沢市)
    • Year and Date
      2014-06-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Dichotomy of global capacity density2014

    • Author(s)
      H. Aikawa
    • Organizer
      The 10th HU and SNU Symposium on Mathematics - Recent progress on theory of probability and partial differential equations -
    • Place of Presentation
      北海道大学(札幌市)
    • Year and Date
      2014-11-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Some topics in probabilistic potential theory2014

    • Author(s)
      相川弘明
    • Organizer
      2014年度ポテンシャル論研究集会
    • Place of Presentation
      福山大学宮地茂記念館(広島県福山市)
    • Year and Date
      2014-09-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Seminaires Analyse Harmonique
    • Place of Presentation
      Paris-Sud大学,フランス
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Dichotomy of global capacity density2014

    • Author(s)
      H. Aikawa
    • Organizer
      The 10th HU and SNU Symposium on Mathematics - Recent progress on theory of probability and partial differential equations
    • Place of Presentation
      Hokkaido University(北海道札幌市北区)
    • Year and Date
      2014-11-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Extended Harnack inequalities with exceptional sets2014

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Analysis and geometry seminar
    • Place of Presentation
      Aalto 大学,フィンランド
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Averaging property of capacity2014

    • Author(s)
      相川弘明,伊藤翼
    • Organizer
      日本数学会2014年度秋季総合分科会
    • Place of Presentation
      広島大学(広島県東広島市)
    • Year and Date
      2014-09-25
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and capacitary width2014

    • Author(s)
      H. Aikawa
    • Organizer
      Stochastic Processes, Analysis and Mathematical Physics, in Honor of Professor Masatoshi Fukushima's Sanju
    • Place of Presentation
      Kansai University(大阪府吹田市)
    • Year and Date
      2014-08-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      相川弘明
    • Organizer
      首都大学・数理解析セミナー
    • Place of Presentation
      首都大学東京,東京都
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      H. Aikawa
    • Organizer
      7th International Conference on Stochastic Analysis and its Applications
    • Place of Presentation
      Seoul National University(韓国)
    • Year and Date
      2014-08-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Dichotomy of global capacity density2014

    • Author(s)
      H. Aikawa
    • Organizer
      The 10th HU and SNU Symposium on Mathematics - Recent progress on theory of probability and partial differential equations -
    • Place of Presentation
      北海道大学(札幌)
    • Year and Date
      2014-11-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Extended Harnack inequalities with exceptional sets and its applications2014

    • Author(s)
      H. Aikawa
    • Organizer
      The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
    • Place of Presentation
      Dongguk University, Gyeongju, Korea
    • Year and Date
      2014-08-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Extended Harnack inequalities with exceptional sets and its applications2014

    • Author(s)
      H. Aikawa
    • Organizer
      The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis
    • Place of Presentation
      Dongguk University(韓国)
    • Year and Date
      2014-08-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      相川弘明
    • Organizer
      第107回熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学(熊本市)
    • Year and Date
      2014-07-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      H. Aikawa
    • Organizer
      7th International Conference on Stochastic Analysis and its Applications
    • Place of Presentation
      ソウル国立大学(韓国)
    • Year and Date
      2014-08-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2013

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Analysseminarium
    • Place of Presentation
      Chalmers大学,スウェーデン
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle -- a unified approach with capacitary width2013

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Analysis and Stochastic Seminar
    • Place of Presentation
      Uppsala大学,スウェーデン
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2013

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Matematiska kollokviet
    • Place of Presentation
      Linkoping大学,スウェーデン
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and capacitary width2013

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis Seminar
    • Place of Presentation
      イバスキラ大学(フィンランド)
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle -- a unified approach with capacitary width2013

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Evolutionary problems Seminar
    • Place of Presentation
      Mittag-Leffler研究所,スウェーデン
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Intrinsic ultracontractivity and capacitary width2013

    • Author(s)
      H. Aikawa
    • Organizer
      Complex Analysis Seminar
    • Place of Presentation
      ワシントン大学(アメリカ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle --- A unified approach with capacitary width2013

    • Author(s)
      相川弘明
    • Organizer
      大阪市立大学理学 部・談話会
    • Place of Presentation
      大阪市立大学,大阪市
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle --- A unified approach with capacitary width2013

    • Author(s)
      相川弘明
    • Organizer
      大阪市立大学理学部・談話会
    • Place of Presentation
      大阪市立大学,大阪市
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle -- a unified approach with capacitary width2013

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Evolutionary problems Seminar
    • Place of Presentation
      Mittag-Leffler研究所,スウェーデン
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle -- a unified approach with capacitary width2013

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Analysis and Stochastic Seminar
    • Place of Presentation
      Uppsala大学,スウェーデン
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Intrinsic ultracontractivity and capacitary width2013

    • Author(s)
      H. Aikawa
    • Organizer
      Complex Analysis Seminar
    • Place of Presentation
      ワシントン大学(アメリカ)
    • Year and Date
      2013-03-05
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] 熱核の評価と境界ハルナック原理 --- 容量的幅による統一的方法2013

    • Author(s)
      相川弘明
    • Organizer
      広島複素解析セミナー
    • Place of Presentation
      広島大学,東広島市
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2013

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Matematiska vetenskaper
    • Place of Presentation
      Chalmers大学,スウェーデン
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2013

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      Matematiska kollokviet
    • Place of Presentation
      Linkoping大学,スウェーデン
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] 熱核の評価と境界ハルナック原理 --- 容量的幅による統一的方法2013

    • Author(s)
      相川弘明
    • Organizer
      広島複素解析セミナー
    • Place of Presentation
      広島大学,東広島市
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2012

    • Author(s)
      H. Aikawa
    • Organizer
      International Conference on Complex Analysis and Related Topics, The 13th Romanian-Finnish Seminar
    • Place of Presentation
      Ploiesti大学(Romania)
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Extended Harnack inequality2012

    • Author(s)
      H. Aikawa
    • Organizer
      The 1078th AMS Meeting
    • Place of Presentation
      ハワイ大学(アメリカ)(招待講演)
    • Year and Date
      2012-03-03
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Extended Harnack inequality2012

    • Author(s)
      H. Aikawa
    • Organizer
      The 1078^<th> AMS meeting
    • Place of Presentation
      ハワイ大学(アメリカ)
    • Year and Date
      2012-03-03
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle, International Conference on Complex Analysis and Related Topics2012

    • Author(s)
      H. Aikawa
    • Organizer
      The 13th Romanian-Finnish Seminar
    • Place of Presentation
      Ploiesti 大学, Romania
    • Year and Date
      2012-06-28
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Extended Harnack inequali- ties with exceptional sets and a boundary Harnack principle2012

    • Author(s)
      相川弘明
    • Organizer
      Potential Theory and its Related Fields
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-09-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Extended Harnack inequality2012

    • Author(s)
      H.Aikawa
    • Organizer
      関西確率論セミナー
    • Place of Presentation
      京都大学(京都市)(招待講演)
    • Year and Date
      2012-02-10
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Extended Harnack inequali- ty2012

    • Author(s)
      相川弘明
    • Organizer
      The 1078th AMS Meeting
    • Place of Presentation
      ハワイ大学(アメリカ)
    • Year and Date
      2012-03-03
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Extended Harnack inequali- ties with exceptional sets and a boundary Harnack principle2012

    • Author(s)
      相川弘明
    • Organizer
      International Confe- rence on Complex Analysis and Related Topics, The 13th Romanian-Finnish Seminar
    • Place of Presentation
      Ploiesti, Romania
    • Year and Date
      2012-06-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Potential analysis on non- smooth domain2011

    • Author(s)
      相川弘明
    • Organizer
      Complex analysis and potential theory
    • Place of Presentation
      モントリオール大学(カナダ)
    • Year and Date
      2011-06-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Potential analysis on nonsmooth domains2011

    • Author(s)
      H. Aikawa
    • Organizer
      Complex analysis and potential theory
    • Place of Presentation
      モントリオール大学(カナダ)(招待講演)
    • Year and Date
      2011-06-21
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Extended Harnack inequality2011

    • Author(s)
      H.Aikawa
    • Organizer
      The 7th HU and SNU Symposium on Mathematics
    • Place of Presentation
      ソウル国立大学(大韓民国)(招待講演)
    • Year and Date
      2011-11-16
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Potential analysis on nonsmooth domains2011

    • Author(s)
      H. Aikawa
    • Organizer
      Complex analysis and potential theory
    • Place of Presentation
      モントリオール大学(カナダ)
    • Year and Date
      2011-06-21
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Potential analysis on nonsmooth domains2011

    • Author(s)
      H.Aikawa
    • Organizer
      UW Differential Geometry/PDE Seminar
    • Place of Presentation
      ワシントン大学(アメリカ)(招待講演)
    • Year and Date
      2011-04-28
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Boundary Harnack principle and Carleson estimate2010

    • Author(s)
      相川弘明
    • Organizer
      4th Internatio- nal Conference on Stochastic Analysis and Its applications
    • Place of Presentation
      関西大学
    • Year and Date
      2010-08-31
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Boundary Harnack principle and Carleson estimate2010

    • Author(s)
      相川弘明
    • Organizer
      4th International Conference on Stochastic Analysis and Its applications
    • Place of Presentation
      関西大学(招待講演)
    • Year and Date
      2010-08-31
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      相川弘明
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] 複雑領域上のポテンシャル論― 解析的性質と幾何的性質―2010

    • Author(s)
      相川弘明
    • Organizer
      日本数学会
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] 複雑領域上のポテンシャル論-解析的性質と幾何的性質-2010

    • Author(s)
      相川弘明
    • Organizer
      日本数学会(特別講演)
    • Place of Presentation
      慶應義塾大
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] 複雑領域上のポテンシャル論--解析的性質と幾何的性質--2010

    • Author(s)
      相川弘明
    • Organizer
      日本数学会(特別講演)
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Boundary Harnack principle and Carleson estimate2010

    • Author(s)
      H.Aikawa
    • Organizer
      4th International Conference on Stochastic Analys is and Its applications
    • Place of Presentation
      関西大学 招待講演
    • Year and Date
      2010-08-31
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] 複雑領域上のポテンシャル論--解析的性質と幾何的性質--2010

    • Author(s)
      相川弘明
    • Organizer
      日本数学会(特別講演)
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Presentation] Harnack不等式について2010

    • Author(s)
      相川弘明
    • Organizer
      ポテンシャル論研究集会
    • Place of Presentation
      大分大学
    • Year and Date
      2010-11-06
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      H.Aikawa
    • Organizer
      日本数学会 秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      H.Aikawa
    • Organizer
      The 13th Conference on Real and Complex Analysis
    • Place of Presentation
      広島大学 招待講演
    • Year and Date
      2010-12-20
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Boundary Harnack principle and Carleson estimate2010

    • Author(s)
      H. Aikawa
    • Organizer
      4th International Conference on Stochastic Analysis and Its applications
    • Place of Presentation
      関西大学
    • Year and Date
      2010-08-31
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      相川弘明
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学(招待講演)
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Modulus of continuity of the Dirichlet solutions2010

    • Author(s)
      相川弘明
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Beurling's minimum principle and the minimal thinness2009

    • Author(s)
      相川弘明
    • Organizer
      複素解析の発展とその応用
    • Place of Presentation
      桐生市市民文化センター
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Boundary Harnack principle and the quasihyperbolic boundary condition2009

    • Author(s)
      相川弘明
    • Organizer
      京都大学数理解析研究所・共同研究集会
    • Place of Presentation
      Potential Theory and related Fields
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] 複雑領域上の正調和関数2009

    • Author(s)
      相川弘明
    • Organizer
      日本数学会(企画特別講演)
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] 複雑領域上の正調和関数2009

    • Author(s)
      相川弘明
    • Organizer
      日本数学会(企画特別講演)
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] John domains and the doubling property of the harmonic measure2009

    • Author(s)
      H. Aikawa
    • Organizer
      Summer School in Conformal Geometry, Potential Theory, and Applications
    • Place of Presentation
      NUI Maynooth, Ireland
    • Year and Date
      2009-06-27
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Boundary Harnack principle and the quasihyperbolic boundary condition2009

    • Author(s)
      相川弘明
    • Organizer
      共同研究集会 Potential Theory and related Fields
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-02-18
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] 複雑領域上の正調和関数2009

    • Author(s)
      相川弘明
    • Organizer
      日本数学会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] 複雑領域上の正調和関数2009

    • Author(s)
      相川弘明
    • Organizer
      日本数学会
    • Place of Presentation
      東京大学(企画特別講演)
    • Year and Date
      2009-03-29
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Presentation] Beurling's minimum principle and the minimal thinness2009

    • Author(s)
      相川弘明
    • Organizer
      複素解析の発展とその応用
    • Place of Presentation
      桐生市市民文化センター
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] 複雑領域上の正調和関数2009

    • Author(s)
      相川弘明
    • Organizer
      日本数学会
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] 複雑領域上の正調和関数2009

    • Author(s)
      相川弘明
    • Organizer
      日本数学会
    • Place of Presentation
      東京大学(企画特別講演)
    • Year and Date
      2009-03-29
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Boundary Harnack principle and the quasihyperbolic boundary condition2009

    • Author(s)
      相川弘明
    • Organizer
      京都大学数理解析研究所・共同研究集会
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] 複雑領域上の正調和関数2009

    • Author(s)
      相川弘明
    • Organizer
      日本数学会年会(企画特別講演)
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Presentation] John domains and the doubling property of the harmonic measure, Summer School in Conformal Geometry2009

    • Author(s)
      H. Aikawa
    • Organizer
      Potential Theory, and Applications
    • Place of Presentation
      NUI Maynooth,(アイルランド)
    • Year and Date
      2009-06-27
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Positive Harmonic functions on nonsmooth domains, Summer School in Conformal Geometry2009

    • Author(s)
      H. Aikawa
    • Organizer
      Potential Theory, and Applications, NUI Maynooth
    • Place of Presentation
      Ireland
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Presentation] 複雑領域上の正調和関数2009

    • Author(s)
      相川弘明
    • Organizer
      日本数学会(企画特別講演)
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Martin境界, 境界Harnack原理と擬双曲距離2008

    • Author(s)
      相川弘明
    • Organizer
      第55回幾何学論シンポジウム
    • Place of Presentation
      弘前大学
    • Year and Date
      2008-08-25
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Presentation] Martin境界, 境界Harnack原理と擬双曲距離2008

    • Author(s)
      相川弘明
    • Organizer
      第55回幾何学論シンポジウム
    • Place of Presentation
      弘前大学
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Beurling's minimum principle and the minimal thinness2008

    • Author(s)
      相川弘明
    • Organizer
      ポテンシャル論研究集会
    • Place of Presentation
      秋田大学カレッジプラザ
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Beurling's minimum principle and the minimal thinness2008

    • Author(s)
      相川弘明
    • Organizer
      ポテンシャル論研究集会
    • Place of Presentation
      秋田大学カレッジプラザ
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Continuity problem of the extremal length2008

    • Author(s)
      H. Aikawa
    • Organizer
      International Workshop on Potential Theory 2008
    • Place of Presentation
      Tokyo-Mejiro, Gakushuin University
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Martin 境界, 境界Harnack原理と擬双曲距離2008

    • Author(s)
      相川弘明
    • Organizer
      第55回幾何学論シンポジウム
    • Place of Presentation
      弘前大学
    • Year and Date
      2008-08-25
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] Martin 境界, 塊界 Harnack 原理と擬双曲距離2008

    • Author(s)
      相川弘明
    • Organizer
      第55回幾何学論シンポジウム
    • Place of Presentation
      弘前大学
    • Year and Date
      2008-08-25
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] Continuity problem of the extremal length2008

    • Author(s)
      相川弘明
    • Organizer
      International Workshop on Potential Theory 2008
    • Place of Presentation
      Gakushuin University
    • Year and Date
      2008-12-17
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] 半一様領域と調和測度のダブリング性について2007

    • Author(s)
      相川弘明
    • Organizer
      第50回函数論シンポジウム
    • Place of Presentation
      群馬県桐生市
    • Year and Date
      2007-10-07
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Presentation] 半一様領域と調和測度のダブリング性について2007

    • Author(s)
      相川弘明
    • Organizer
      第50回函数論シンポジウム
    • Place of Presentation
      群馬県桐生市
    • Year and Date
      2007-10-07
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] 半一様領域と調和測度のダブリング性について2007

    • Author(s)
      相川弘明
    • Organizer
      第50回函数論シンポジウム
    • Place of Presentation
      群馬県桐生市
    • Year and Date
      2007-10-07
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] 半一様領域と調和測度のダブリング性について2007

    • Author(s)
      相川弘明
    • Organizer
      第50回函数論シンポジウム
    • Place of Presentation
      桐生市市民文化センター
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Continuity problem of the extremal length2007

    • Author(s)
      H. Aikawa
    • Organizer
      International Workshop on Potential Theory 2008
    • Place of Presentation
      Tokyo-Mejiro, Gakushuin University
    • Data Source
      KAKENHI-PROJECT-17204010
  • [Presentation] 半一様領域と調和測度のダブリング性について2007

    • Author(s)
      相川弘明
    • Organizer
      第50回函数論シンポジウム
    • Place of Presentation
      桐生市市民文化センター
    • Year and Date
      2007-10-07
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Presentation] 半一様領域と調和測度のダブリング性について2007

    • Author(s)
      相川弘明
    • Organizer
      第50回函数論シンポジウム
    • Place of Presentation
      群馬県桐生市
    • Year and Date
      2007-10-07
    • Data Source
      KAKENHI-PROJECT-19654023
  • [Presentation] Boundary estimates of p-harmonic functions in a metric measure space2005

    • Author(s)
      相川弘明
    • Organizer
      研究集会「調和解析と非線形偏微分方程式」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2005-07-15
    • Data Source
      KAKENHI-PROJECT-17340034
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle.

    • Author(s)
      相川弘明
    • Organizer
      Analysis and geometry seminar
    • Place of Presentation
      Aalto University (Finland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle.

    • Author(s)
      相川 弘明
    • Organizer
      Potential Theory and its Related Fields.
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Potential analysis on nonsmooth domains

    • Author(s)
      H. Aikawa
    • Organizer
      Complex analysis and potential theory
    • Place of Presentation
      モントリオール大学(カナダ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Extended Harnack inequality

    • Author(s)
      H. Aikawa
    • Organizer
      関西確率論セミナー
    • Place of Presentation
      京都大学(京都市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Extended Harnack inequality

    • Author(s)
      H. Aikawa
    • Organizer
      The 1078th AMS Meeting
    • Place of Presentation
      ハワイ大学(アメリカ合衆国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Extended Harnack inequalities with exceptional sets

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis and geometry seminar
    • Place of Presentation
      Aalto University (Finland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle -- a unified approach with capacitary width

    • Author(s)
      相川弘明
    • Organizer
      Evolutionary problems Seminar
    • Place of Presentation
      Institut Mittag-Leffler (Sweden)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle -- a unified approach with capacitary width

    • Author(s)
      H. Aikawa
    • Organizer
      Analysis and Stochastic Seminar
    • Place of Presentation
      Department of Mathematics, Uppsala University (Sweden)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Potential analysis on nonsmooth domains

    • Author(s)
      相川 弘明
    • Organizer
      Complex analysis and potential theory
    • Place of Presentation
      モントリオール大学(カナダ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Unified approach to elliptic and parabolic boundary Harnack principles I and II

    • Author(s)
      H. Aikawa
    • Organizer
      Workshop on Nonlinear PDE
    • Place of Presentation
      Tohoku University(宮城県仙台市青葉区)
    • Year and Date
      2014-11-13 – 2014-11-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] 熱核の評価と境界ハルナック原理 --- 容量的幅による統一的方法

    • Author(s)
      相川 弘明
    • Organizer
      広島複素解析セミナー
    • Place of Presentation
      広島大学理学部(広島県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Unified approach to elliptic and parabolic boundary Harnack principles I and II

    • Author(s)
      H. Aikawa
    • Organizer
      Workshop on Nonlinear PDE at Tohoku University
    • Place of Presentation
      東北大学(仙台)
    • Year and Date
      2014-11-13 – 2014-11-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610017
  • [Presentation] Extended Harnack inequalities with exceptional sets and its applications

    • Author(s)
      H. Aikawa
    • Organizer
      The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications
    • Place of Presentation
      Dongguk University, Gyeongju, Korea
    • Year and Date
      2014-08-08 – 2014-08-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Extended Harnack inequality

    • Author(s)
      相川 弘明
    • Organizer
      The 1078th AMS Meeting
    • Place of Presentation
      ハワイ大学(アメリカ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle.

    • Author(s)
      相川 弘明
    • Organizer
      International Conference on Complex Analysis and Related Topics, The 13th Romanian-Finnish Seminar.
    • Place of Presentation
      Ploiesti, Romania
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle

    • Author(s)
      H. Aikawa
    • Organizer
      Analysseminarium
    • Place of Presentation
      Matematiska vetenskaper - Chalmers tekniska hogskola och Goteborgs universite (Sweden)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      RIMS meeting: Potential Theory and its Related Fields
    • Place of Presentation
      RIMS, Kyoto University, Japan
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Extended Harnack inequality

    • Author(s)
      H. Aikawa
    • Organizer
      The 7th HU and SNU Symposium on Mathematics
    • Place of Presentation
      ソウル国立大学(大韓民国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle -- a unified approach with capacitary width

    • Author(s)
      H. Aikawa
    • Organizer
      Evolutionary problems Seminar
    • Place of Presentation
      Institut Mittag-Leffler (Sweden)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle

    • Author(s)
      H. Aikawa
    • Organizer
      Analyse Harmonique
    • Place of Presentation
      Le Departement de Mathematiques de la Faculte des Sciences d'Orsay, Universite Paris-Sud, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Potential analysis on nonsmooth domains

    • Author(s)
      H. Aikawa
    • Organizer
      UW Differential Geometry/PDE Seminar
    • Place of Presentation
      ワシントン大学(シアトル,アメリカ合衆国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Unified approach to elliptic and parabolic boundary Harnack principles I and II

    • Author(s)
      H. Aiakwa
    • Organizer
      Workshop on Nonlinear PDE at Tohoku University
    • Place of Presentation
      東北大学(仙台)
    • Year and Date
      2014-11-13 – 2014-11-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle

    • Author(s)
      Hiroaki Aikawa
    • Organizer
      International Conference on Complex Analysis and Related Topics, The 13th Romanian-Finnish Seminar (Plenary Talk)
    • Place of Presentation
      Ploiesti, Romania
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle

    • Author(s)
      H. Aikawa
    • Organizer
      Matematiska kollokviet
    • Place of Presentation
      Matematiska institutionen, Linkopings universitet (Sweden)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle

    • Author(s)
      相川 弘明
    • Organizer
      首都大学・数理解析セミナー
    • Place of Presentation
      首都大学東京(東京都)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle --- A unified approach with capacitary width

    • Author(s)
      相川 弘明
    • Organizer
      大阪市立大学数学研究所談話会
    • Place of Presentation
      大阪市立大学理学部(大阪府)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340028
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