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Mizuta Yoshihiro  水田 義弘

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… Alternative Names

MIZUTA Yoshihiro  水田 義弘

水田 弘  ミズタ ヨシヒロ

水田 義広  ミズタ ヨシヒロ

水田 義弘  ミズタ ヨシヒロ

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Researcher Number 00093815
Other IDs
Affiliation (Current) 2022: 広島大学, 先進理工系科学研究科(理), 名誉教授
Affiliation (based on the past Project Information) *help 2019 – 2020: 広島大学, 先進理工系科学研究科(理), 名誉教授
2016 – 2019: 広島大学, 理学研究科, 名誉教授
2017: 広島大学, 理学(系)研究科(研究院), 名誉教授
2017: 広島大学, 理学(系)研究科(研究院), 教授
2011 – 2015: 広島工業大学, 工学部, 教授 … More
2008 – 2010: 広島大学, 理学(系)研究科(研究院), 教授
2006 – 2010: Hiroshima University, Graduate School of Science, Prof.
2006: 広島大学, 大学院理学研究科, 教授
1990 – 2006: 広島大学, 総合科学部, 教授
2001: 広島大学, 総合化学部, 教授
1988: 広島大学, 総合科学部, 助教授
1986: Hiroshima Univ., Fac. Int. Arts & Sci., Assoc. Prof., 総合科学部, 助教授 Less
Review Section/Research Field
Principal Investigator
解析学 / Basic analysis / Basic analysis / Basic Section 12020:Mathematical analysis-related
Except Principal Investigator
Basic analysis / 解析学 / Basic analysis / Global analysis / 代数学・幾何学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12010:Basic analysis-related
Keywords
Principal Investigator
変動指数 / 関数空間 / ポテンシャル論 / 偏微分方程式 / ソボレフの定理 / ソボレフの不等式 / 調和関数 / ソボレフ関数 / ポテンシャル / 擬等角写像 … More / 容量 / Trudingerの不等式 / 極大関数 / 複素解析 / function space / variable exponent / ファトウの定理 / ポテンシャル解析 / Morrey 空間 / Sovolev theorem / 変動指数をもつ関数空間 / グリーン関数 / ディリクレ問題 / リーマン面 / クライン群 / 値分布論 / 等角写像 / 複素解析学 / 多変数関数論 / 多変数解析関数 / 複素多様体 / 関析関数 / potential theory / Riemam surface / Kleinian grouy / Value distribution / anformal mapping / Complex function theory / Fanction thery / だ円型偏微分方程式 / 境界値 / Potential theory / Complex analysis / quasi-conformal mappings / Elliptic partical differential equations / boundary behaviors / 多調和関数 / Lebesgueの単調関数 / 接境界値の存在 / ルベーグの単調関数 / 孤立特異点 / 楕円型偏微分方程式 / ポテンシヤル / 正則関数と擬等角写像 / potential / partial differential equation / polyharmonic functions / monotone functions in the sense of Lebesgue / tangential boundary limits / Sobolev's theorem / 2重層汎関数 / ポテンシュル論 … More
Except Principal Investigator
リーマン面 / ポテンシャル / ソボレフ関数 / 関数空間 / 楕円型方程式 / 自己相似解 / 固有値問題 / 等角写像 / 楕円型偏微分方程式 / タイヒミュラー空間 / クライン群 / 固有値 / 非線形 / 変動指数 / 調和解析 / 調和 / Keller-Segel方程式系 / Keller-Segel system / locations of blow up points / 正値解 / 調和関数 / 漸近挙動 / elliptic equation / 漸近解析 / 変分法 / 局所環 / 等長埋め込み / 球対称解 / 振動解 / 双曲計量 / シュワルツ微分 / 擬等角写像 / 幾何学的函数論 / 単葉函数 / 分数べき積分 / Hardy空間 / Campanato空間 / Morrey空間 / Orlicz空間 / 実解析 / 実解析学 / 優調和 / 可積分性 / 爆発 / 大域解 / 双曲型方程式 / Self-similar solution / elliptic equations / Sobolev functions / Riemann surface / Dirichlet解 / 熱方程式 / 時間遅れをもつ方程式 / 境界値 / 整関数 / 境界条件 / 放物型 / 調和測度 / positive solution / 等角的埋め込み / 単葉関数 / 双曲的距離 / Univalent functions / 大域分枝 / 爆発点の位置 / global blanch / 一様領域 / 容量密度条件 / 放物型方程式 / 関数微分方程式 / harmonic function / uniform domain / capacity density condition / 常微分方程式 / 準線形常微分方程式 / 振動 / eigenvalue problem / 特異摂動 / Nonlinear / Eigenvalue / periodicity moduli / central Morrey空間 / central Campanato空間 / 一般化Rieszポテンシャル / 射影空間 / 同値問題 / 超幾何関数 / ベッポーリビィ関数 / 細連続関数 / リ-マン多様体 / 第2種フックス群 / BMOの関数 / ハ-ディ空間 / 細境界値 / 解析的容量 / シュワルツ関数 / 解析写像の力学系 / Lelekの問題 / リンキング形式 / L.Cohnの予想 / EmdenーFowler型方程式 / 細連続性 / サドルポイント法 / 特異極限 / コンピュータ / 数学教育 / 数式処理 / 数式の計算 / 値分布論 / 多変数解析関数 / 複素多様体 / 分散分析 / curvature / continuum theory / 白色雑音 / サドルポイント近似 / ポランシャル / 値分布 / 複素力学系 / Bergman核 / 準素イデアル / ヒルベルト多項式 / 楕円型微分方程式 / ボルテラ型ダイナミックス / 凝固問題 / 特異スペクトル法 / 渦度方程式 / constantin-Lax-Majdu方程式 / フラクタル / コンパクト化 / エキゾチック構造 / ホモロジー・セル / 楕円型 / 等角不変量 / ポテンシャル論 / ハーディー空間 / ハーディ族 / 局所-様単葉函数 / Smale予想 / Bazilevic函数 / 超幾何函数 / Lipschitz空間 / フーリエ解析 / 錐特異性 / 極値問題 / 一様完全 / 面積不等式 / 変動領域 / 単葉性判定法 / シュワルツ補題 / ベキ変形 / グルンスキー係数 / ベキ行列 / 退化ベルトラミ方程式 / 半円環 / 調和解析学 / 特異積分 / coarea公式 / 容量 / 細位相 / 極値的長さ / パーターベーション / マルチン境界 / キャパシティ / potential / harmonic / superharmonic / integrability / coarea fomula / capacity / fine topology / extremal length / 爆発点 / Keller-Segel方程式 / 関数空関 / global solutions / two parameter problems / hyperbolic equations / 解析性 / 逆問題 / 再生核 / 積分変換 / 微分方程式 / 数値解析 / リーセン面 / フライン群 / 解析関数 / 値分布理論 / 偏微分方程式 / Analytic function / reproducing kernel / inverse problem / differential equ / numerical / Integral transform / Klein group / 分岐子 / 極限閉軌道 / ホモクリニック軌道 / リエナール方程式系 / オイラー型方程式 / 自己随伴型非線形微分方程式 / 確率過程 / 非線型 / Carleson測度 / Network / Markov過程 / separatrix / limit cycle / homoclinic orbit / Lie^^'nard system / Euler equation / self-adjoint equation / 解析接続 / 流体力学 / 2次微分 / 基本領域 / 双曲的極値領域 / 正則な単射 / 自己等角写像群 / 双曲的計量 / 双曲的極大領域 / ワイアシュトラスのゼータ関数 / トーラスのモジュラス / 流れのエネルギー / 理想境界の大きさ / 理想境界を越える解析接続 / 正則写像 / モジュラス / 理想境界 / 不連続群の基本領域 / Rigmann surfaces / Conformal embedding / Analytic continuation / Fluid dynamics / Quadratic differentials / Fundamental domains / Hyperbolically maximal domains / 走化性解の崩壊 / 楕円方程式 / chemotactic collapse / oscllation problem / Denjoy領域 / Martin境界 / John領域 / 凸集合 / 境界Harnack原理 / 多調和関数 / 安定性 / ボルテラ型微分方程式 / Denjoy domain / Martin boundary / John domain / convex set / boundary Harnack principle / 準線形方程式 / スシルム・リューヴィユ問題 / 高階常微分方程式 / リューヴィル型定理 / 変分固有値 / 解の対称性 / 解の漸近挙動 / 数理生物学 / quasilinear equation / Sturm-Liouville problem / Asymptotic Analysis / Singular Perturbation / Variational Methods / Childress-Percusの予想 / 楕円型方程式解 / Lieuville型の定理 / 粘菌形成方程式系 / 大域分岐 / Harnack型不等式 / 大腸菌コロニー / 半群理論 / 楕円形方程式 / 解の爆発 / Liouville型定理 / 球対称性 / Chirdress-Percus conjecture / self-similar solution / Lieuville type theorem / radially symmetrical solution / 準線形 / 放物型偏微分方程式 / 楕円型編微分方程式 / 多重調和関数 / 漸近的性質 / エムデン=ファウラー / 振動性 / 準線形楕円型方程式 / 境界値問題 / 3階常微分方程式 / 4階常微分方程式 / 2階楕円型方程式 / oscillation / elliptic partial differential equation / quasilinear / variational problem / polyharmonic function / parabolic partial differential equation / ordinary differential equations / 境界層 / 単振り子 / 内部挙動 / 変文法 / Asymptotic analysis / Variational methods / Singular perturbation / Boundary layer / Simple pendulum / Interior behavior / ベルグマン空間 / Dirac方程式 / 内部一様領域 / Carleson評価 / Fatou定理 / harmonic measure / Bergman space / Dirac equation / Sobolev function / parabolic equation / 粘性流 / ボアズイユ流 / 不連続群 / 極値的平行截線写像 / ポアズイユ流 / リーマン周期行列 / distinguished boundary / Riemann surfaces / Hyperbolic metric / Conformal embedding s / Viscous fluid flow s / Poiseuille flow / Discontinuous groups s / Extremal parallel slit mappings / 多様体 / 微分形式 / 有限要素法 / 差分近似法 / modulus / manifold / differential form / finite element method / finite difference method / 積分作用素 / 平均振動量 / 掛算作用素 / central Morrey type 空間 / central Morrey-Orlicz空間 / λ-CMO 空間 / Riesz ポテンシャル / d-modified Riesz ポテンシャル / Bσ-関数空間 / Hardy-Littlewood-Sobolev / Calderon-Zygmund 特異積分作用素 / 一般化σ-Lipschitz空間 / 一般化σ-BMO空間 / central Morrey-Orlicz 空間 / λ-CMO-Orlicz 空間 / central Morrey type空間 / 一般化λ-CMO空間 / 増大条件を伴う関数空間 / B_σ-関数空間 / 極大作用素 / Calder'on Zygmund作用素 / 多重線形作用素 / d-modified Rieszポテンシャル Less
  • Research Projects

    (44 results)
  • Research Products

    (173 results)
  • Co-Researchers

    (108 People)
  •  一般調和解析に由来する増大条件を伴う関数空間の深化と展開

    • Principal Investigator
      松岡 勝男
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Nihon University
  •  2重層汎関数のポテンシャル解析Principal Investigator

    • Principal Investigator
      水田 義弘
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Hiroshima University
  •  Wienerの一般調和解析に端を発する関数空間の深化と展開

    • Principal Investigator
      松岡 勝男
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nihon University
  •  Deepening of theory of function spaces from real and harmonic analysis and its application

    • Principal Investigator
      Nakai Eiichi
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Ibaraki University
  •  A new trend of function spaces with variable exponentsPrincipal Investigator

    • Principal Investigator
      Mizuta Yoshihiro
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
      Hiroshima Institute of Technology
  •  Harmonic analysis based on function spaces with variable exponent and its applications

    • Principal Investigator
      NAKAI Eiichi
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Ibaraki University
  •  Potential theoretic study for elliptic partial differential equations

    • Principal Investigator
      SHIMOMURA TETSU
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Various aspects on the study of Geometric Function Theory

    • Principal Investigator
      SUGAWA Toshiyuki
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Potential analysis of various function spaces and applicationPrincipal Investigator

    • Principal Investigator
      MIZUTA Yoshihiro
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima Institute of Technology
      Hiroshima University
  •  Potential theoretic study of elliptic partial differential equations

    • Principal Investigator
      SHIMOMURA Tetsu
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Function spaces with variable exponent

    • Principal Investigator
      NAKAI Eiichi
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Ibaraki University
      Osaka Kyoiku 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
  •  New development of geometric function theory focused on conformal invariants

    • Principal Investigator
      SUGAWA Toshiyuki
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
      Hiroshima University
  •  変動指数をもつ関数空間の研究Principal Investigator

    • Principal Investigator
      水田 義弘
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Study on the theory of conformal embeddings of a Riemann surface focused on the hyperrbolic metric and hydrodynamics of viscous fluids

    • Principal Investigator
      SHIBA Masakazu
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Potential analysis

    • 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
  •  Potential Analysis for Sobolev functionsPrincipal Investigator

    • Principal Investigator
      MIZUTA Yoshihiro
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  Asymptotic analysis of nonlinear ordinary differential equations and its applications

    • Principal Investigator
      USAMI Hiroyuki
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  Analysis on the nonlinear elliptic eigenvalue problems

    • Principal Investigator
      SHIBATA Tetsutaro
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  Structure of solutions to the system of equations describing chemotactic aggregation of cellular slime molds

    • Principal Investigator
      YOSHIDA Kiyoshi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      HIROSHIMA UNIVERSIlY
  •  Interdisciplinary research on complicated sets related to functional equations

    • 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
  •  Asymptotic analysis of ordinary differential equations, and its application to partial differential equations

    • Principal Investigator
      USAMI Hiroyuki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  Research on the nonlinear elliptic eigenvalue problems by variational methods

    • Principal Investigator
      SHIBATA Tetsutaro
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      HIROSHIMA 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
  •  Theory of injective holomorphic mappings of a Riemann surface into another and its applications to hydrodynamics - a modern comprehension of the classical theory of univalent functions

    • Principal Investigator
      SHIBA Masakazu
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  Structure of solutions to Keller-Segel system

    • Principal Investigator
      YOSHIDA Kiyoshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      HIROSHIMA 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 mappingsPrincipal Investigator

    • 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
  •  Potential theoretic research on elliptic differential equations

    • 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
  •  Structure of solutions to the differential equations arising in natural phenomina

    • Principal Investigator
      YOSHIDA Kiyoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  C^nの特徴づけについて

    • Principal Investigator
      FURUSHIMA Mikio
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  微分方程式の解の漸近的性質

    • Principal Investigator
      SHIBATA Tetsutaro
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hiroshima University
  •  擬等角写像の境界挙動に関する研究Principal Investigator

    • Principal Investigator
      水田 義弘
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hiroshima University
  •  非線形現象と微分方程式

    • Principal Investigator
      吉田 清
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hiroshima University
  •  Integrated research on potential theory in manifoldsPrincipal Investigator

    • Principal Investigator
      MIZUTA Yoshihiro
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  複素解析学とポテンシャル論の総合的研究

    • Principal Investigator
      前田 文之
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Hiroshima University
  •  可換代数の研究

    • Principal Investigator
      伊藤 史朗
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  コンピュータと数学教育の係わりについての総合的研究

    • Principal Investigator
      竹之内 脩, 前田 文之
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Osaka International University
      Hiroshima University
  •  一部実施要因計画の構築と解析の研究

    • Principal Investigator
      桑田 正秀
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  解析写像の研究

    • Principal Investigator
      藤家 龍雄
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  実体,2次形式と多様体

    • Principal Investigator
      岩上 辰男
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Hiroshima University
  •  射影部分多様体の理論と微分方程式系

    • Principal Investigator
      板野 暢之
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Hiroshima University
  •  ポテンシャル論の研究とその応用についてPrincipal Investigator

    • Principal Investigator
      水田 義弘
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hiroshima University
  •  Finite Difference Method and Finite Element Method on Manifolds, and Their Applications

    • Principal Investigator
      MIZUMOTO Hisao
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      HIROSHIMA UNIVERSITY

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

All Journal Article Presentation

  • [Journal Article] Weak Estimates for the Maximal and Riesz Potential Operators in Central Herz-Morrey Spaces on the Unit Ball2021

    • Author(s)
      Mizuta Yoshihiro、Ohno Takao、Shimomura Tetsu
    • Journal Title

      Zeitschrift f"ur Analysis und ihre Anwendungen

      Volume: 40 Pages: 183-207

    • DOI

      10.4171/zaa/1679

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Journal Article] Non-homogeneous central Morrey type spaces in L^p(・) and weak estimates for the maximal and Riesz potential operators2020

    • Author(s)
      Katsuo Matsuoka, Yoshihiro Mizuta and Tetsu Shimomura
    • Journal Title

      Kyoto J. of Math.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Journal Article] Campanato-Morrey spaces for the double phase functionals2020

    • Author(s)
      Mizuta Yoshihiro、Nakai Eiichi、Ohno Takao、Shimomura Tetsu
    • Journal Title

      Revista Matematica Complutense

      Volume: 33 Pages: 817-834

    • DOI

      10.1007/s13163-019-00332-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03663, KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-18K03332
  • [Journal Article] Boundary limits of monotone Sobolev functions for double phase functionals2020

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      Osaka J. Math.

      Volume: 57 Pages: 819-826

    • NAID

      120006891388

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03563
  • [Journal Article] Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions2020

    • Author(s)
      Mizuta Yoshihiro、Ohno Takao、Shimomura Tetsu、Yamauchi Yusuke
    • Journal Title

      Mathematische Nachrichten

      Volume: 293 Pages: 1156-1173

    • DOI

      10.1002/mana.201800569

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03663, KAKENHI-PROJECT-18K03332
  • [Journal Article] Boundedness of the maximal and potential operators in Herz-Morrey type spaces2020

    • Author(s)
      Mizuta Yoshihiro、Ohno Takao、Shimomura Tetsu
    • Journal Title

      Complex Variables and Elliptic Equations

      Volume: 65 Pages: 1575-1589

    • DOI

      10.1080/17476933.2019.1669571

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-19K03586, KAKENHI-PROJECT-18K03332
  • [Journal Article] Sobolev's theorem for double phase functionals2020

    • Author(s)
      Y. Mizuta, T. Ohno and T. Shimomura,
    • Journal Title

      Mathematical Inequalities & Applications

      Volume: 23 Pages: 17-33

    • DOI

      10.7153/mia-2020-23-02

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03563, KAKENHI-PROJECT-19K03586, KAKENHI-PROJECT-18K03332
  • [Journal Article] Weak estimates for the maximal and Riesz potential operators on non-homogeneous central Morrey type spaces in L^1 over metric measure spaces2020

    • Author(s)
      Matsuoka Katsuo、Mizuta Yoshihiro、Shimomura Tetsu
    • Journal Title

      Annales Academiae Scientiarum Fennicae Mathematica

      Volume: 45 Pages: 1187-1207

    • DOI

      10.5186/aasfm.2020.4561

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-18K03332
  • [Journal Article] Boundedness of maximal operators on Herz spaces with radial variable exponent2020

    • Author(s)
      Mizuta Yoshihiro、Shimomura Tetsu
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 72 Pages: 335-348

    • DOI

      10.2748/tmj/1601085619

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-18K03332
  • [Journal Article] Boundary growth of Sobolev functions for double phase functionals2020

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      Annales Academiae Scientiarum Fennicae Mathematica

      Volume: 45 Pages: 279-292

    • DOI

      10.5186/aasfm.2020.4510

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03563, KAKENHI-PROJECT-20K03663, KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-18K03332
  • [Journal Article] Campanato-Morrey spaces for the double phase functionals with variable exponents2020

    • Author(s)
      Mizuta Yoshihiro、Nakai Eiichi、Ohno Takao、Shimomura Tetsu
    • Journal Title

      Nonlinear Analysis

      Volume: 197 Pages: 111827-111827

    • DOI

      10.1016/j.na.2020.111827

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-18K03332
  • [Journal Article] Duality of central Herz-Morrey-Musielak-Orlicz spaces of variable exponents2019

    • Author(s)
      Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Collect. Math.

      Volume: 70 Pages: 117-151

    • DOI

      10.1007/s13348-018-0222-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-18K03332
  • [Journal Article] Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces2019

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Complex Var. Elliptic Equ.

      Volume: 64 Pages: 1437-1456

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Journal Article] On the non-homogeneous central M<orrey type spaces in L1(Rn) and the weak boundedness of some operators2018

    • Author(s)
      Katsuo Matsuoka, Yoshihiro Mizuta
    • Journal Title

      数理解析研究所講究録

      Volume: 2095 Pages: 88-96

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Journal Article] Sobolev inequalities for Musielak-Orlicz spaces2018

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      manuscripta mathematica

      Volume: 155 Pages: 209-227

    • DOI

      10.1007/s00229-017-0944-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618, KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-18K03332
  • [Journal Article] Non-homogeneous central Morrey type spaces in L12018

    • Author(s)
      Katsuo Matsuoka, Yoshihiro Mizuta
    • Journal Title

      数理解析研究所講究録

      Volume: 印刷中

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Journal Article] Sobolev's inequalities for Herz-Morrey-Orlicz spaces on the half space2018

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura
    • Journal Title

      Mathematical Inequalities & Applications

      Volume: 21 Pages: 433-453

    • DOI

      10.7153/mia-2018-21-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-18K03332, KAKENHI-PROJECT-15H03621
  • [Journal Article] Variable exponent weighted norm inequality for generalized Riesz potentials2018

    • Author(s)
      Maeda Fumi-Yuki、Mizuta Yoshihiro、Shimomura Tetsu
    • Journal Title

      Ann. Acad. Sci. Fenn.

      Volume: 43 Pages: 563-577

    • DOI

      10.5186/aasfm.2018.4336

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-18K03332
  • [Journal Article] Growth properties of potentials in central Morrey-Orlicz spaces on the unit ball2018

    • Author(s)
      Mizuta Yoshihiro、Ohno Takao、Shimomura Tetsu
    • Journal Title

      Ann. Acad. Sci. Fenn.

      Volume: 43 Pages: 21-46

    • DOI

      10.5186/aasfm.2018.4302

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-18K03332
  • [Journal Article] Growth properties for Riesz potentials of functions in weighted variable L^{p(・)} spaces2017

    • Author(s)
      Y. Mizuta, T. Ohno, T. Shimomura
    • Journal Title

      Nonlinear Analysis

      Volume: 162 Pages: 49-75

    • DOI

      10.1016/j.na.2017.06.010

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04929, KAKENHI-PROJECT-26400154
  • [Journal Article] Growth properties near the origin for generalized Riesz potentials2017

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura and Yusuke Yamauchi
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 54 Pages: 285-302

    • DOI

      10.1016/j.jmaa.2017.04.068

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618, KAKENHI-PROJECT-15K04929, KAKENHI-PROJECT-26400154
  • [Journal Article] Duality of Herz-Morrey Spaces of Variable Exponent2016

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Filomat

      Volume: 30 Pages: 1891-1898

    • DOI

      10.2298/fil1607891m

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-26400154
  • [Journal Article] Sobolev&apos;s inequality for Riesz potentials in Lorentz spaces of variable exponent2015

    • Author(s)
      Yoshihiro Mizuta and Takao Ohno
    • Journal Title

      J. Math. Soc. Japan

      Volume: 67 Issue: 2 Pages: 433-452

    • DOI

      10.2969/jmsj/06720433

    • NAID

      130005069886

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03621
  • [Journal Article] Boundedness of the maximal operator and Sobolev's inequality on non-homogeneous central Herz-Morrey-Orlicz spaces2015

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno
    • Journal Title

      Nonlinear Anal.

      Volume: 128 Pages: 325-347

    • DOI

      10.1016/j.na.2015.08.014

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400154
  • [Journal Article] SOBOLEV’S THEOREM AND DUALITY FOR HERZ-MORREY SPACES OF VARIABLE EXPONENT2014

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno
    • Journal Title

      Ann. Acad. Sci. Fenn. Math.

      Volume: 39 Pages: 389-416

    • DOI

      10.5186/aasfm.2014.3913

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400154
  • [Journal Article] Hardy's inequality in Musielak-Orlicz-Sobolev spaces2014

    • Author(s)
      F. - Y. Maeda, Y. Mizuta, T. Ohno, T. Shimomura
    • Journal Title

      Hiroshima Math. J.

      Volume: 44 Pages: 139-155

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540174
  • [Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces $L^{1,\nu,\beta_1,\beta_2}(R^n)$2014

    • Author(s)
      Y. Mizuta, T. Shimomura
    • Journal Title

      Math. Inequal. Appl.

      Volume: 17 Pages: 1399-1414

    • DOI

      10.7153/mia-17-103

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540174
  • [Journal Article] Sobolev's theorem and duality for Herz-Morrey spaces of variable exponent2014

    • Author(s)
      Yoshihiro Mizuta and Takao Ohno
    • Journal Title

      Ann. Acad. Sci. Fenn. Math.

      Volume: 39 Pages: 389-416

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Hardy averaging operator on generalized Banach function spaces and duality2013

    • Author(s)
      Yoshihiro Mizuta, Ales Nekvinda and Tetsu Shimomura
    • Journal Title

      Z. Anal. Anwend.

      Volume: 32 Pages: 233-255

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces2013

    • Author(s)
      Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Bull. Sci. math.

      Volume: 37 Pages: 76-96

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces2013

    • Author(s)
      Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Potential Anal.

      Volume: 38 Pages: 515-535

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces2013

    • Author(s)
      Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Potential Anal.

      Volume: 38 Pages: 515-535

    • DOI

      10.1007/s11118-012-9284-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540174
  • [Journal Article] Approximate identities and Young type inequalities in Musielak-Orlicz spaces2013

    • Author(s)
      F. - Y. Maeda, Y. Mizuta, T. Ohno, T. Shimomura
    • Journal Title

      Czechoslovak Math. J.

      Volume: 63 Pages: 933-948

    • DOI

      10.1007/s10587-013-0063-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540174
  • [Journal Article] Mean continuity for potentials of functions in Musielak-Orlicz spaces2013

    • Author(s)
      Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      RIMSKokyuroku Bessatsu

      Volume: B43 Pages: 67-86

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Sobolev's inequality for Riesz potentials in central Lorentz-Morrey spaces of variable exponent2013

    • Author(s)
      Yoshihiro Mizuta and Takao Ohno
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B43 Pages: 101-120

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials2013

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano and Tetsu Shimomura
    • Journal Title

      J. Math. Soc. Japan

      Volume: 65 Pages: 633-670

    • NAID

      10031177293

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials2013

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano and Tetsu Shimomura
    • Journal Title

      J. Math. Soc. Japan

      Volume: 65 Issue: 2 Pages: 633-670

    • DOI

      10.2969/jmsj/06520633

    • NAID

      10031177293

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540174
  • [Journal Article] Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces2013

    • Author(s)
      Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Bull. Sci. Math.

      Volume: 137 Pages: 76-96

    • DOI

      10.1016/j.bulsci.2012.03.008

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540174
  • [Journal Article] Weighted Sobolev inequality in Musielak-Orlicz space2012

    • Author(s)
      Y. Mizuta, T. Shimomura
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 388 Pages: 86-97

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540174
  • [Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Morrey-Musielak-Orlicz spaces of variable exponent in R^n2012

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Rev. Mat. Complut.

      Volume: 25 Pages: 413-434

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano and Tetsu Shimomura
    • Journal Title

      Archiv der Mathematik

      Volume: Volume 98, Number 3 Pages: 253-263

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in Rn2012

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Rev. Mat. Complut

      Volume: 25 Pages: 413-434

    • DOI

      10.1007/s13163-011-0074-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-22540192, KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540174
  • [Journal Article] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano, Tetsu Shimomura
    • Journal Title

      Arch. Math

      Volume: 98 Pages: 253-263

    • DOI

      10.1007/s00013-012-0362-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167, KAKENHI-PROJECT-22540192, KAKENHI-PROJECT-24540174
  • [Journal Article] A trace inequality of Riesz potentials in variable exponent Orlicz spaces2012

    • Author(s)
      Y. Mizuta, T. Shimomura
    • Journal Title

      Math. Nachr.

      Volume: 285 Pages: 1466-1485

    • DOI

      10.1002/mana.201000115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540174
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents2011

    • Author(s)
      Y.Mizuta, E.Nakai, T.Ohno, T.Shimomura
    • Journal Title

      Complex Var. Elliptic Equ.

      Volume: 56 Pages: 6231-6243

    • DOI

      10.1080/17476933.2010.504837

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540167, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183, KAKENHI-PROJECT-22540192, KAKENHI-PROJECT-23740108
  • [Journal Article] Sobolev's inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent2011

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno, Tetsu Shimomura
    • Journal Title

      Banach and Function Spaces III, Yokohama Publishers

      Pages: 409-419

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Iterated maximal functions in variable exponent Lebesgue spaces2011

    • Author(s)
      P.Harjulehto, P.Hasto, Y.Mizuta, T.Shimomura
    • Journal Title

      Manuscripta Math

      Volume: 135 Pages: 381-399

    • DOI

      10.1007/s00229-010-0421-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Orlicz-Sobolev capacity of balls2011

    • Author(s)
      Toshihide Futamura, Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Illinois Math. J.

      Volume: 55 Pages: 543-553

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Sobolev' s inequality for Riesz potentials in Orlicz-Musielak spaces2011

    • Author(s)
      Y. Mizuta, E. Nakai, T. Ohno and T. Shimomura
    • Journal Title

      Proceedings of the International Symposium on Banach and Function Spaces III(Kitakyushu, Japan, 2009)

      Pages: 409-419

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents2011

    • Author(s)
      Y.Mizuta, E.Nakai, T.Ohno, T.Shimomura
    • Journal Title

      Complex Vari.Elliptic Equ.

      Volume: 56 Pages: 671-695

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent2011

    • Author(s)
      F.-Y.Maeda, Y.Mizuta, T.Ohno, T.Shimomura
    • Journal Title

      Complex Var.Elliptic Equ.

      Volume: 74 Pages: 6231-6243

    • DOI

      10.1016/j.na.2011.06.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183, KAKENHI-PROJECT-22540192, KAKENHI-PROJECT-23740108
  • [Journal Article] Hardy' s inequality in Orlicz-Sobolev spaces of variable exponent2011

    • Author(s)
      Y. Mizuta, E. Nakai, T. Ohno and T. Shimomura
    • Journal Title

      Hokkaido Math. J.

      Volume: 40 Pages: 187-203

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent2011

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno, Tetsu Shimomura
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 40 Pages: 187-203

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent2011

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Complex Variables and Elliptic Equations

      Volume: Vol.56, Issue 7-9 Pages: 671-695

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear ellipticproblems involving the p(x) Laplacian and its critical exponent2010

    • Author(s)
      Y. Mizuta, T. Ohno, T. Shimomura and N. Shioji
    • Journal Title

      Ann. Acad. Sci. Fenn. Math

      Volume: 35 Pages: 115-130

    • DOI

      10.5186/aasfm.2010.3507

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Sobolev' s inequality for Riesz potentials of functions in Morrey spaces of integral form2010

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      Math. Nachr

      Volume: 283No.9 Pages: 1336-1352

    • DOI

      10.1002/mana.200710122

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Journal Title

      Journal of the Mathematical Society of Japan Vol.62

      Pages: 707-744

    • NAID

      10027870763

    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Weighted Orlicz-Riesz capacity of balls2010

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 138 Pages: 4291-4302

    • NAID

      120002753735

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Approximate identities in variable Lebesgue-Orlicz spaces L^<p・>(log L)^<q(・)>2010

    • Author(s)
      Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno
    • Journal Title

      Ann.Acad.Sci.Fenn.Math.

      Volume: 35 Pages: 405-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Boundedness of fractional integral operators on Morrey spacesand Sobolev embeddings for generalized Riesz potentials2010

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno, Tetsu Shimomura
    • Journal Title

      Math.Soc.Japan

      Volume: 62 Pages: 707-744

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Approximate identities and Young type inequalities in variable Lebesgue-Orlicz spaces Lp^(・)(log L) q^(・)2010

    • Author(s)
      F-. Y. Maeda, Y. Mizuta and T. Ohno
    • Journal Title

      Ann. Acad. Sci. Fenn. Math

      Volume: 35 Pages: 405-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Weighted Orlicz-Riesz capacity of balls2010

    • Author(s)
      Y. Mizuta, T. Ohno, T. Shimomura
    • Journal Title

      Proc. Amer. Math. Soc

      Volume: 138 Pages: 4291-4302

    • DOI

      10.1090/s0002-9939-2010-10510-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev' s exponent2010

    • Author(s)
      Y. Mizuta, T. Ohno and T. Shimomura
    • Journal Title

      Bull. Sci. Math

      Volume: 134 Pages: 12-36

    • DOI

      10.1016/j.bulsci.2009.09.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form2010

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Math.Nachr.

      Volume: 283 Pages: 1336-1352

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent2010

    • Author(s)
      T. Futamura, Y. Mizuta and T. Shimomura
    • Journal Title

      J. Math. Anal. Appl

      Volume: 366No.2 Pages: 391-417

    • DOI

      10.1016/j.jmaa.2010.01.053

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev's exponent2010

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Bull.Sci.Math.

      Volume: 134 Pages: 12-36

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010

    • Author(s)
      水田義弘, 中井英一, 大野貴雄, 下村哲
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 62 Pages: 707-744

    • NAID

      10027870763

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Sobolev inequalities for Orlicz spaces of two variable exponents2010

    • Author(s)
      P. Hasto, Y. Mizuta, T. Ohno and T. Shimomura
    • Journal Title

      Glasgow Math. J

      Volume: 52 Pages: 227-240

    • DOI

      10.1017/s0017089509990292

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010

    • Author(s)
      Y. Mizuta, E. Nakai, T. Ohno and T. Shimomura
    • Journal Title

      J. Math. Soc. Japan

      Volume: 62, No.3 Issue: 3 Pages: 707-744

    • DOI

      10.2969/jmsj/06230707

    • NAID

      10027870763

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Weighted Orlicz-Riesz capacity of balls2010

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura
    • Journal Title

      Proc.Amer.Math.Soc.

      Volume: 138 Pages: 4291-4302

    • NAID

      120002753735

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent2010

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      Math. Inequal. Appl

      Volume: 13 Pages: 99-122

    • DOI

      10.7153/mia-13-08

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Maximal functions in variable exponent spaces : limiting cases of the exponent2009

    • Author(s)
      L. Diening, P. Harjulehto, P. Hasto, Y. Mizuta and T. Shimomura
    • Journal Title

      Ann. Acad. Sci. Fenn. Math

      Volume: 34 Pages: 503-522

    • URL

      http://www.acadsci.fi/mathematica/Vol34/DieningHarjulehtoHastoMizutaShimomura.html

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Sobolev' s inequality for Orlicz-Sobolev spaces of variable exponents2009

    • Author(s)
      Y. Mizuta, T. Ohno and T. Shimomura
    • Journal Title

      数理解析研究所講究録

      Volume: 1669 Pages: 91-102

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1669-08.pdf

    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Sobolev' s inequality for Riesz potentials of functions in non-doubling Morrey spaces2009

    • Author(s)
      Y. Mizuta, T. Shimomura and T. Sobukawa
    • Journal Title

      Osaka J. Math

      Volume: 46 Pages: 255-271

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Integrability of maximal functions for generalized Lebesgue spaces Lp^(・)(log L) q^(・), Proceedings of the Conference on Potential Theory and Stochastics in Albac2009

    • Author(s)
      Y. Mizuta, T. Ohno and T. Shimomura
    • Journal Title

      AurelCornea Memorial Volume

      Pages: 193-202

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Variable exponent spaces on metric measure spaces, More progresses in analysis(ISAAC-5, Catania, 2005, Begehr and Nicolosi(ed.)2009

    • Author(s)
      T. Futamura, P. Harjulehto, P. Hasto, Y. Mizuta and T. Shimomura
    • Journal Title

      World Scientific

      Pages: 107-121

    • DOI

      10.1142/9789812835635_0010

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] CONTINUITY PROPERTIES OF RIESZ POTENTIALS OF ORLICZ FUNCTIONS2009

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      Tohoku Math. J.

      Volume: 61 Issue: 2 Pages: 225-240

    • DOI

      10.2748/tmj/1245849445

    • NAID

      130003339584

    • ISSN
      0040-8735, 2186-585X
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Continuity properties of Riesz potentials of Orlicz functions2009

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Tohoku Math.J. 61

      Pages: 225-240

    • NAID

      110007129528

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Integrability of maximal functions in Orlicz spaces of variable exponent2009

    • Author(s)
      T. Futamura, Y. Mizuta and T. Shimomura
    • Journal Title

      数理解析研究所講究録

      Volume: 1669 Pages: 37-51

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1669-03.pdf

    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces2009

    • Author(s)
      水田義弘, 下村哲, 曽布川拓也
    • Journal Title

      Osaka Journal of Mathematics 46

      Pages: 255-271

    • NAID

      120005986679

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces2009

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Osaka J.Math. 46

      Pages: 255-271

    • NAID

      120005986679

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Journal of the Mathematical Society of Japan 60

      Pages: 583-602

    • NAID

      10024331805

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2008

    • Author(s)
      Y. Mizuta, T. Ohno and T. Shimomura
    • Journal Title

      Math. Nachr 281, No.3

      Pages: 386-395

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces L^<1.ν.β>(G)2008

    • Author(s)
      Y. Mizuta, E. Nakai, T. Ohno and T. Shimomura
    • Journal Title

      Hiroshima Math. J 38

      Pages: 425-436

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2008

    • Author(s)
      Y. Mizuta, T. Ohno, and T. Shimomura
    • Journal Title

      Math. Nachr. 281

      Pages: 386-395

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      J. Math. Soc. Japan 60

      Pages: 583-602

    • NAID

      10024331805

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Isolated singularites, growth of spherical means and Riesz decomposition for superbiharmonic functions2008

    • Author(s)
      T. Futamura, K. Kitaura, Y. Mizuta
    • Journal Title

      Hiroshima Math. J. Vol.38

      Pages: 231-241

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2008

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Math. Nachr. 281

      Pages: 386-395

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17654034
  • [Journal Article] Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space L^<p(-)>(log L)^<q(-)>2008

    • Author(s)
      Y. Mizuta, T. Ohno and T. Shimomura
    • Journal Title

      J. Math. Anal. Appl 345

      Pages: 70-85

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008

    • Author(s)
      水田義弘, 下村哲
    • Journal Title

      Journal of the Mathematical Society of Japan 60

      Pages: 583-602

    • NAID

      10024331805

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008

    • Author(s)
      Y. Mizuta, and T. Shimomura
    • Journal Title

      J. Math. Soc. Japan 60

      Pages: 583-602

    • NAID

      10024331805

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] An elementary proof of Sobolev embeddings for. Riesz potentials of functionsin Morrey spaces L^{l, v, β}(G)2008

    • Author(s)
      水田義弘, 中井英一, 大野貴雄, 下村哲
    • Journal Title

      Hiroshima Mathematical Journal 38

      Pages: 425-436

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space L^<p(・)>log L^<q(・)>2008

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Journal of Mathematical Analysis and Applications 345

      Pages: 70-85

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007

    • Author(s)
      Y.Mizuta
    • Journal Title

      Illinois Math. J. (to appear)

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      Illinois J. Math 51

      Pages: 1039-1060

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007

    • Author(s)
      Y. Mizuta, and T. Shimomura
    • Journal Title

      Illinois J.Math. 51

      Pages: 1039-1060

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2007

    • Author(s)
      Y.Mizuta
    • Journal Title

      Math. Nachr. (to appear)

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2007

    • Author(s)
      Y.Mizuta, T.Ohno, T.Shimomura
    • Journal Title

      Math. Nachr.

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2007

    • Author(s)
      Y.Mizuta, T.Ohno, T.Shimomura
    • Journal Title

      Math. Nachr. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Continuity properties and vanishing exponential integrability of Riesz potentials of Orlicz functions2007

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      京都大学数理解析研究所講究録 1553

      Pages: 137-148

    • Data Source
      KAKENHI-PROJECT-19540185
  • [Journal Article] Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes2007

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      Illinois Math. J. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Maximal functions, Riesz potentials and Sobolev's inequality in generalized Lebesgue spaces2006

    • Author(s)
      Y.Mizuta
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 255-281

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006

    • Author(s)
      T. Futamura, Y. Mizuta, and T. Shimomura
    • Journal Title

      Ann. Acad. Sci. Fenn. Math. 31

      Pages: 495-522

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Continuity of weakly monotone Sobolev functions of variable exponent2006

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 127-143

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006

    • Author(s)
      T.Futamura, Y.Mizuta, T.Shimomura
    • Journal Title

      Ann.Acad.Sci.Fenn.Math. (印刷中)

    • Data Source
      KAKENHI-PROJECT-17654034
  • [Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006

    • Author(s)
      T.Futamura, Y.Mizuta, T.Shimomura
    • Journal Title

      Ann. Acad. Sci. Fenn. Math. 31

      Pages: 495-522

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Maximal functions, Riesz potentials and Sobolev's inequality in generalized Lebesgue spaces2006

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      Advanced Studies in Pure Mathematics 44

      Pages: 255-281

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Existence of tangential limits for α-harmonic functions on half spaces2006

    • Author(s)
      Y.Mizuta
    • Journal Title

      Potential Analysis 25

      Pages: 29-36

    • NAID

      120000882397

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006

    • Author(s)
      T.Futamura, Y.Mizuta, T.Shimomura
    • Journal Title

      to appear in Ann.Acad.Sci.Fenn.Math.

    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Spherical means and Riesz decomposition for superbiharmonic functions2006

    • Author(s)
      K.Kitaura, Y.Mizuta
    • Journal Title

      J. Math. Soc. Japan 58

      Pages: 521-533

    • NAID

      10018381406

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Maximal functions for Lebesgue spaces with variable exponent approaching 12006

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Hiroshima Math. J. 36

      Pages: 23-28

    • NAID

      110004455832

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Existence of tangential limits for a-harmonic functions on half spaces2006

    • Author(s)
      Y.Mizuta
    • Journal Title

      Potential Analysis 25

      Pages: 29-36

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Spherical means and Riesz decomposition for superbiharmonic functions2006

    • Author(s)
      K. Kitaura, and Y. Mizuta
    • Journal Title

      J. Math. Soc. Japan 58

      Pages: 521-533

    • NAID

      10018381406

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Sobolev embeddings for Riesz potential space of variable exponent2006

    • Author(s)
      T.Futamura, Y.Mizuta, T.Shimomura
    • Journal Title

      Math. Nachr. 279

      Pages: 1463-1473

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Sobolev embeddings for Riesz potential space of variable exponent2006

    • Author(s)
      T. Futamura, Y. Mizuta, and T. Shimomura
    • Journal Title

      Math. Nachr. 279

      Pages: 1463-1473

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Existence of tangential limits for alpha-harmonic functions on half spaces2006

    • Author(s)
      Y. Mizuta
    • Journal Title

      Potential Anal 25

      Pages: 29-36

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Continuity of weakly monotone Sobolev functions2005

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Advances in Math.Sci.and Applications 15

      Pages: 571-585

    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Complex Var. Theory Appl. 50

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log- Holder condition at infinity2005

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      J. Math. Anal. Appl. 311

      Pages: 268-288

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Continuity of weakly monotone Sobolev functions2005

    • Author(s)
      T. Futamura, and Y.Mizuta
    • Journal Title

      Adv.Math.Sci.Appl. 15

      Pages: 571-585

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Hoelder condition at infinity2005

    • Author(s)
      Mizuta, Y.
    • Journal Title

      J.Math.Anal.Appl. 811

      Pages: 268-288

    • Data Source
      KAKENHI-PROJECT-16540157
  • [Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Complex Var.Theory Appl. 50

      Pages: 441-451

    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Existence of tangential limits for α-harmonic functions on half spaces2005

    • Author(s)
      Y.Mizuta
    • Journal Title

      Potential Analysis 28(to appear)

      Pages: 209-219

    • NAID

      120000882397

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Hoelder condition at infinity2005

    • Author(s)
      Y. Mizuta, and T. Shimomura
    • Journal Title

      infinity. J. Math. Anal. Appl. 311

      Pages: 268-288

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Holder condition at infinity2005

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      J.Math.Anal.Appl 311

      Pages: 268-188

    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Holder condition at infinity2005

    • Author(s)
      Y.Mizuta
    • Journal Title

      J.Math.Anal.Appl. 311

      Pages: 268-288

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Complex Variables 50

      Pages: 441-451

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Holder condition at infinity}2005

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      J.Math.Anal.Appl. 311

      Pages: 268-288

    • Data Source
      KAKENHI-PROJECT-17654034
  • [Journal Article] Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Holder condition at infinity2005

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      J. Math. Anal. Appl. 311

      Pages: 268-288

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Growth properties of p-th means of biharmonic Green potentials in the unit ball2005

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Osaka Math.J. 42

      Pages: 85-99

    • NAID

      120005986893

    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Isolated singularities of sub-polyharmonic functions2005

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Hokkaido Math.J. 33

      Pages: 675-695

    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005

    • Author(s)
      T. Futamura Y. Mizuta
    • Journal Title

      Complex Variable Theory AppL 50

      Pages: 441-451

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540157
  • [Journal Article] Minimally fine limits at infinity for ρ-precise functio2004

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      J.Math.Soc.Japan 56

      Pages: 1-15

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Isolated singularities of sub-polyharmonic functions2004

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Hokkaido Math.J. 33

      Pages: 675-695

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Minimally fine limits at infinity for p-precise functions2004

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      J.Math.Soc.Japan 56

      Pages: 1-15

    • NAID

      10013122503

    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Continuity of Sobolev functions of variable exponent on metric spaces2004

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      Proc.Japan Acad.Ser.A Math.Sci. 80

      Pages: 96-99

    • NAID

      40006480352

    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Isolated singularities of sub-polyharmonic functions2004

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Hokkaido Math. J. 33

      Pages: 675-695

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Continuity of Sobolev functions of variable exponent on metric spaces2004

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      Proc. Japan Acad. Ser. A Math. Sci. 80

      Pages: 96-99

    • NAID

      40006480352

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Minimally fine limits at infinity for p-precise functions2004

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      J. Math. Soc. Japan 56

      Pages: 1-15

    • NAID

      10013122503

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] Continuity of Sobolev functions of variable exponent on metric spaces2004

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      Proc.Japan Acad.Ser.A Math.Sci. 80

      Pages: 96-99

    • NAID

      40006480352

    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] On semi-fine limits at infinity for BLD and monotone BLD functions2003

    • Author(s)
      Y.Mizuta, T.Shimomura
    • Journal Title

      Potential Analysis 19

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340046
  • [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] Lindelof theorems for monotone Sobolev functions2003

    • Author(s)
      T.Futamura, Y.Mizuta
    • Journal Title

      Acad. Sci. Fenn. Ser. A. I. Math. 28

      Pages: 271-277

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340046
  • [Journal Article] On semi-fine limits at infinity for BLD and monotone BLD functions2003

    • Author(s)
      Y.Mizuta
    • Journal Title

      Potential Analysis 19

      Pages: 365-381

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340046
  • [Journal Article] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Journal Title

      Hokkaido Mathematical Journal 掲載予定

    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Journal Title

      Complex Variables and Elliptic Equations 掲載予定

    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in R^n

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Revista Matematica Complutense

      Volume: (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Maximal functions、Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $\R^n$

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Journal Title

      Revista Matematica Complutense 掲載予定

    • Data Source
      KAKENHI-PROJECT-20540167
  • [Journal Article] Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent

    • Author(s)
      Y. Mizuta, and T. Shimomura
    • Journal Title

      to appear in Math. Inequal. Appl.

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Journal Article] Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form

    • Author(s)
      Y. Mizuta, and T. Shimomura
    • Journal Title

      to appear in Math. Nachr.

    • Data Source
      KAKENHI-PROJECT-17340039
  • [Presentation] Hardy-Sobolev inequalities in the half space2019

    • Author(s)
      水田義弘
    • Organizer
      RIMS研究集会「関数空間の深化とその周辺 」
    • Data Source
      KAKENHI-PROJECT-15H03621
  • [Presentation] Hardy-Sobolev inequalities in the half space2019

    • Author(s)
      水田義弘
    • Organizer
      RIMS共同研究 (公開型) 「関数空間論とその周辺」
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Presentation] Herz-Morrey-Musielak-Orlicz spaces2019

    • Author(s)
      水田義弘
    • Organizer
      実函数論・函数解析学合同シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Presentation] Herz-Morrey-Musielak-Orlicz spaces2019

    • Author(s)
      水田義弘
    • Organizer
      実函数論・函数解析学合同シンポジウム
    • Data Source
      KAKENHI-PROJECT-15H03621
  • [Presentation] Monotone Sobolev functions with double phase2019

    • Author(s)
      水田義弘
    • Organizer
      ポテンシャル論研究集会
    • Data Source
      KAKENHI-PROJECT-15H03621
  • [Presentation] Generalized Riesz potentials in Herz-Morrey spaces2018

    • Author(s)
      水田義弘
    • Organizer
      RIMS共同研究 (公開型) 「関数空間の深化とその周辺」
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Presentation] Boundedness of the maximal operator for double phase functionals with variable exponents2018

    • Author(s)
      水田義弘
    • Organizer
      RIMS共同研究(公開型)「関数空間の一般化とその周辺」
    • Data Source
      KAKENHI-PROJECT-17K05306
  • [Presentation] 変動指数をもつ関数空間2017

    • Author(s)
      水田義弘
    • Organizer
      本数学会年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03621
  • [Presentation] 変動指数をもつ関数空間2017

    • Author(s)
      水田義弘
    • Organizer
      日本数学会 年会
    • Place of Presentation
      首都大学東京
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400154
  • [Presentation] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012

    • Author(s)
      水田義弘, 中井英一, 澤野嘉宏, 下村哲
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-24540159
  • [Presentation] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $R^<N$>2011

    • Author(s)
      水田義弘,中井英一,大野貴雄,下村哲
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      信州大学松本キャンパス
    • Year and Date
      2011-09-30
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Presentation] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $R^N$2011

    • Author(s)
      水田義弘, 中井英一, 大野貴雄, 下村哲
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      信州大学松本キャンパス
    • Year and Date
      2011-09-30
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Presentation] Maximal functions in variable exponent Lebesgue spaces2010

    • Author(s)
      水田義弘
    • Organizer
      実解析学シンポジウム
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-11-12
    • Data Source
      KAKENHI-PROJECT-22540192
  • [Presentation] Maximal functions in variable exponent Lebesgue spaces2010

    • Author(s)
      Y. Mizuta
    • Organizer
      Real Analysis Symposium 2010
    • Place of Presentation
      Kyushu Instituteof Technology
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Presentation] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent2010

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • 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-20540167
  • [Presentation] Sobolev' s embeddings for Riesz potential spaces of variable exponents2009

    • Author(s)
      Y. Mizuta
    • Organizer
      The International Symposium on Banach and Function Spaces 2009
    • Place of Presentation
      KyushuInstitute of Technology
    • Data Source
      KAKENHI-PROJECT-21540183
  • [Presentation] Boundedness of maximal functions in Lebesgue spaces of variable exponent2008

    • Author(s)
      水田義弘
    • Organizer
      The 16th international conference on finite or infinite dimensional Analysis and applications
    • Place of Presentation
      Dongguk University
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Sobolev inequalities for Orlicz spaces of two variable exponents2008

    • Author(s)
      水田義弘
    • Organizer
      International Conference on Real and Complex Analysis in Sendai(2008)
    • Place of Presentation
      Tohoku University
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddingsfor eneralized Riesz potentials2008

    • Author(s)
      水田義弘, 中井英一, 大野貴雄, 下村哲
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Data Source
      KAKENHI-PROJECT-20540167
  • [Presentation] Continuity properties for Riesz potentials of Orlicz functions2008

    • Author(s)
      水田義弘
    • Organizer
      IWPT in Tokyo
    • Place of Presentation
      Gakusyuin University
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Function spaces of variable exponent2007

    • Author(s)
      水田義弘
    • Organizer
      Potential Theory and Stochastics
    • Place of Presentation
      Albac, Romania
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Isolated singularities for polyharmonic functions2007

    • Author(s)
      水田義弘
    • Organizer
      Finland-Japan joint seminar
    • Place of Presentation
      Helsinki
    • Data Source
      KAKENHI-PROJECT-19540185
  • [Presentation] Lebesgue point theory for Riesz potentials of Orlicz functions2007

    • Author(s)
      水田義弘
    • Organizer
      Linkopings
    • Year and Date
      2007-08-31
    • Data Source
      KAKENHI-PROJECT-19540185
  • 1.  YOSHIDA Kiyoshi (80033893)
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