NAKAI Eiichi 中井英一

Researcher Number	60259900
Other IDs	https://orcid.org/0000-0002-8393-4524
External Links
Affiliation (Current)	2021: 茨城大学, 理工学研究科(理学野), 教授
Affiliation (based on the past Project Information) *help	2018 – 2021: 茨城大学, 理工学研究科(理学野), 教授 2011 – 2018: 茨城大学, 理学部, 教授 2012: 茨城大学, 理学部数学・情報数理領域, 教授 2006 – 2010: Osaka Kyoiku Univ., Faculty of education, Professor, 教育学部, 教授 1997 – 2006: 大阪教育大学, 教育学部, 助教授 1995 – 1996: 大阪教育大学, 教育学部, 講師 1994: 明石工業高等専門学校, 一般科目, 助教授
Review Section/Research Field	Principal Investigator Basic analysis / 解析学 / Basic analysis / Analysis, Applied mathematics, and related fields / Basic Section 12020:Mathematical analysis-related Except Principal Investigator Basic analysis / Basic analysis / 解析学 / Global analysis / Basic Section 12020:Mathematical analysis-related / Basic Section 12010:Basic analysis-related
Keywords	Principal Investigator bounded mean oscillation / pointwise multiplier / 関数空間 / Campanato space / Morrey space / Morrey空間 / Campanato空間 / Hardy空間 / Orlicz空間 / 変動指数 … More Except Principal Investigator 調和解析 / 特異積分 / ウェーブレット / 関数空間 / ハーディ空間 / 時間周波数解析 / 最大関数 / 退化楕円型方程式 / 非線形楕円型方程式 / image processing / フレーム / 関数解析 / CKN型不等式 / ソボレフ不等式 / ハーディ不等式 / ミッシングターム / 実ハーディ空間 / 実関数論 / マルティンゲール / 分数べき積分作用素 / 作用素環 / 自己同型写像 / 非可換力学系 / エントロピー / 接合積 / 自由積 / Automorphism / Non-commutative dynamical system / Entropy / State / Crossed product / ハーディーの不等式 / P-harmonic / 画像処理 / wavelet / 実函数論 / 函数解析学 / 実解析 / ハーディー空間 / 擬微分作用素 / フーリエ乗子 / BMO / 重み付きハーディ不等式 / ミッシング・ターム / 変分問題 / 非可換調和解析 / ヤコビ解析 / 離散ラドン変換 / アーベル変換 / 特異積分作用素 / 多重線形作用素 / 加藤の不等式 / 強最大値原理 / ソボレフの不等式 / ハーディの不等式 / CKN 型不等式 / 重み付きソボレフの不等式 / p-ラプラシアン / 一般化分数べき作用素 / 分数べき積分 / Operator algebras / Free product / 非線型楕円型方程式 / Hardy inequality / エルゴード変換 / 超局所解析 / マルチウェーブレット / フィルタ / ウェーブレット解析 / microlocal analysis / multiwavelet / filter / time frequency analysis / wavelet analysis / ヤコビ変換 / 逆変換公式 / 特異解 / P-調和作用素 / 最小解 / degenerate elliptic equation / singular solution / Rellich inequality / missing terms / システム同定 / system identification / 重み付きソボレフ不等式 / 解析学 / central Morrey空間 / endomorphism(自己準同型写像) / conjugate(共役) / subfactor(分子因子環) / simple(単純) / entropy(エントロピー) / 合同シンポジウム / 直交級数 / モデュレーション空間 / シャッテンクラス / ハウスドルフ作用素 / 重み付き関数空間 / シャッテン族 / モデユレーション空間 / ラドン変換 / ペーリーの不等式 / ハンケル変換 / 変動指数ルベーグ空間 / 交換子作用素 / 重み付き評価 / 直交関数 / 信号解析 / 画像解析 / ヘルツ空間 / 重みつき評価 / 重み付きソボレ不等式 / 非線形変分問題 / 楕円型偏微分方程式 / 退化楕円型問題 / 対称性の破れ / 退化楕円型 / バーディ不等式 / L^p有界性 / アトム分解 / 補間法 / 実Hardy空間 / 補間定理 / Tribel-Lizorkin空間 / Dunkl解析 / Besov空間 / フーリエ・マルティプライヤー / トリーベル・リゾルキン空間 / Triebel-Lizorkin空間 / 多重フーリエ級数 / 級数の点毎収束 / 重み付き格子点問題 / Gibbs-Wilbraham 現象 / Pinsky 現象 / 波動方程式の基本解 / Mathematica(ソフト) / Gibbs-Wilbraham現象 / Pinsky現象 / 点毎収束 / 曲線の長さ / Szegoの方法 / 最大作用素 / 双線形作用素 / パラプロダクト / ＣＫＮ型不等式 / 楕円型変分問題 / p－ラプラシアン / 対称性の崩れ / Super logarithm / 重み付きハーディの不等式 / ミッシンク・ターム / Hardy-Sobolevの不等式 / Hardyの不等式の精密化 / スーパー対数関数 / 不等式の精密化 / 超対数関数 / 不等式のミッシングターム / 退化型非線形偏微分方程式 / モリー･カンパナート空間 / BMO空間 / カンパナート空間 / バナッハ関数空間 / ヘルツ型不等式 / BMO 空間 / モリー空間 / 状態 / C^-環 / C^V-環 / 制限自由積 / 状態(state) / 状態(stale) / CィイD1ィエD1-algebra / 特異点の除去 / P調和方程式 / ポテンシャル論 / 非線型楕円型 / ハーディー不等式 / p調和方程式 / 非線形楕円型 / 除去可能な特異点 / 特異点の除去可能性 / うめ込み定理 / 解の正則性 / degeneration alliptic / Singularity / Sobolev inequality / potential theory / non-linear eliptic / C^*-algebra / ウェーブレットフレーム / wavelet frame / 半単純リー群 / アーベル積分 / 分数積分・微分 / 分数積分 / フーリエ・ヤコビ変換 / 解析接続 / 複素ヤコビ変換 / 非等質空間 / semisimple Lie group / real Hardy space / Abel transform / fractional integral and derivative / Jaccobi transform / 非線形楕円型作用素 / レリッヒの不等式 / 退化楕円型方程式n / P-調和方程式 / nonlinear elliptic equation / minimal solution / 群の作用 / Operator Algebars / Group / free product / tight frame / multiresolution_analysis / microlocal filtering / singular value decomposition / pseudodifferential operator / neural network / frame / 線形化問題 / レリッヒ不等式 / バーディの不等式 / p調和作用素 / 最良定数 / weighted Sobolev ineauality / linearization / Hardy ineouality / ブラインド信号分離 / 一般化されたソボレフ空間 / ブラインド信号源分離 / 特異値分解 / blind source separation / time-frequency analysis / generalized Sobolev space / フーリエ解析 / Analysis / Real Analysis / Functional Analysis / Fourier Analysis / hypergroup / 特異積分論 / 有界性 / Kunze-Stein 現象 / 補間理論 / Kunze-Stein現象 / 国際研究者交流 / 中国：モロッコ：フランス / 逆最大値原理 / 非線型変分問題 / 非線形楕円型変分問題 / 退化楕円型偏微分方程式 / Morrey 空間 / central Morrey type 空間 / central Morrey-Orlicz空間 / λ-CMO 空間 / central Campanato空間 / Riesz ポテンシャル / d-modified Riesz ポテンシャル / Hardy-Littlewood-Sobolev / Calderon-Zygmund 特異積分作用素 / Bσ-関数空間 / 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 / 一般化Rieszポテンシャル / 実解析学 / 関数方程式 / 増大条件を伴う関数空間 / B_σ-関数空間 / d-modified Rieszポテンシャル / 重み付きHardy 不等式の精密化 / 重み付きSobolev不等式の精密化 / CKN型不等式の精密化 / 非線形退化楕円型変分問題 / 加藤の不等式の精密化 Less

平均振動量・増大度が一様でない関数空間の理論と応用Principal Investigator
- Principal Investigator
  
  中井英一
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Ibaraki University
調和解析における実関数論の方法とその応用
- Principal Investigator
  
  宮地晶彦
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo Woman's Christian University
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
A new refinement allowing infinite-order degeneration and explosion of weighted classical inequalities and its application to variational problems
- Principal Investigator
  
  堀内利郎
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Ibaraki University
種々のマルティンゲール空間とその上の分数べき積分作用素および交換子
- Principal Investigator
  
  貞末岳
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Osaka Kyoiku 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 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nihon University
多変数フーリエ級数の収束問題とガウスの円問題Principal Investigator
- Principal Investigator
  
  中井英一
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Research Field
  
  Analysis, Applied mathematics, and related fields
- Research Institution
  Ibaraki University
Qualitative study of nonlinear elliptic equations based on refinement of classical inequalities
- Principal Investigator
  
  Horiuchi Toshio
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Study of martingale spaces and martingale inequalities in view of real analysis
- Principal Investigator
  
  Sadasue Gaku
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
実解析・調和解析に由来する関数空間の理論の深化と応用Principal Investigator
- Principal Investigator
  
  中井英一
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Refinement of classical inequalities and its application to elliptic variational problems
- Principal Investigator
  
  Horiuchi Toshio
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Harmonic analysis based on function spaces with variable exponent and its applicationsPrincipal Investigator
- 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
Structures of some martingale spaces, and operators on these martingale spaces
- Principal Investigator
  
  SADASUE Gaku
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
New development in non-commutative harmonic analysis related to singular integrals - A fusion of representation theory and real analysis
- Principal Investigator
  
  KAWAZOE Takeshi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
Harmonic analysis by real variable methods and its applications
- Principal Investigator
  
  MIYACHI Akihiko
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Woman's Christian University
On some contact points with the multiple Fourier series and lattice point problems with weights
- Principal Investigator
  
  KURATSUBO Shigehiko
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hirosaki University
On the improvement of classical inequalities and its applications to nonlinear degenerate elliptic equations
- Principal Investigator
  
  HORIUCHI Toshio
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Function spaces with variable exponentPrincipal Investigator
- 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
Theory of Singular Integral Operators in Non-commutative Harmonic Analysis. A verification of Use of Real Hardy Spaces.
- Principal Investigator
  
  KAWAZOE Takeshi
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
Study of singular integrals and function spaces
- Principal Investigator
  
  KOMORI Yasuo
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokai University
Harmonic analysis by real variable methods and its applications
- Principal Investigator
  
  MIYACHI Akihiko
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Woman's Christian University
実解析を用いた信号及び画像解析における共同研究の調査
- Principal Investigator
  
  立澤一哉
- Project Period (FY)
  2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Study of Multilinear singular Integral and Littlewood-Paley Operator
- Principal Investigator
  
  YABUTA Kozo
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kwansei Gakuin University
一般化Morrey-Campanato空間の前相対空間Principal Investigator
- Principal Investigator
  
  中井英一
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
On the linearization of quasilinear degenerate elliptic equations and the structure of singular solutions
- Principal Investigator
  
  HORIUCHI Toshio
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Micorlocal filtering using wavelet and local multiresolution analysis
- Principal Investigator
  
  ASHINO Ryuichi
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
Microlocal filtering with wavelet frames multiresolution analysis
- Principal Investigator
  
  MORIMOTO Akira, 芦野隆一
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
調和解析研究グループの構築と共同研究の企画
- Principal Investigator
  
  KAWAZOE Takeshi
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
On the structure of singular solutions for degenerate elliptic equations
- Principal Investigator
  
  HORIUCHI Toshio
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  IBARAKI UNIVERSITY
Entropy on non-commutative dynamical systems and the structure of operator algebras
- Principal Investigator
  
  CHODA Marie
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
Microlocal filtering with multiwavelet frames
- Principal Investigator
  
  ASHINO Ryuichi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
Weight theory related to harmonic analysis on groups -in harmony with representation theory
- Principal Investigator
  
  KAWAZOE Takeshi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
Entropy in the non-commutalrive dynamical systems and the structure of algebras
- Principal Investigator
  
  CHODA Marie
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka Kyoiku University
The research on degenerate elliptic partial differential equations by the method of real analysis
- Principal Investigator
  
  HORIUCHI Toshio
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  IBARAKI UNIVERSITY
Theory and applications of BMO and related function spaces on spaces of homogeneous typePrincipal Investigator
- Principal Investigator
  
  NAKAI Eiichi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka Kyoiku University
Entropy for automorphisms of operator algebras
- Principal Investigator
  
  CHODA Marie
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka Kyoiku University
homogeneous型空間上の重み付きBMOPrincipal Investigator
- Principal Investigator
  
  中井英一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka Kyoiku University
クンツ型自己準同型写像
- Principal Investigator
  
  CHODA Marie
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka Kyoiku University
BMOとこれに関連した函数空間上での各点的マルチプライヤーについてPrincipal Investigator
- Principal Investigator
  
  中井英一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Akashi National College of Technology

[Book] Harmonic Analysis and its Applications ISBN 4-946552-20-02006
- Author(s)
  Akihiko Miyachi, Eiichi Nakai, Masami Okada (Editors)
- Total Pages
  122
- Publisher
  Yokohama Publishers
- Data Source
  KAKENHI-PROJECT-17654033
[Journal Article] Ccmmutators of fractional integrals2019
- Author(s)
  Nakai Eiichi、Sadasue Gaku
- Journal Title
  
  Mathematical Inequalities & Applications
  
  Volume: 22 Pages: 631-655
- DOI
  10.7153/mia-2019-22-44
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-16K05203
[Journal Article] Generalized Campanato spaces with variable growth condition2019
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Res. Inst. Math. Sci. (RIMS) Kokyuroku Bessatsu
  
  Volume: B74 Pages: 65-92
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05306
[Journal Article] Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation2019
- Author(s)
  Nakai Eiichi、Yoneda Tsuyoshi
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 48
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind2019
- Author(s)
  Fatih Deringoz, Vagif S. Guliyev, Eiichi Nakai, Yoshihiro Sawano and Minglei Shi
- Journal Title
  
  Positivity
  
  Volume: 23 Pages: 727-757
- DOI
  10.1007/s11117-018-0635-9
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-16H03943
[Journal Article] Commutators of Calderon-Zygmund and generalized fractional integral operators on generalized Morrey spaces2018
- Author(s)
  Arai Ryutaro、Nakai Eiichi
- Journal Title
  
  Revista Matematica Complutense
  
  Volume: 31 Pages: 287-331
- DOI
  10.1007/s13163-017-0251-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces2018
- Author(s)
  Idha Sihwaningrum, Hendra Gunawan, Eiichi Nakai
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 291 Pages: 1400-1417
- DOI
  10.1002/mana.201600350
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-15H03621
[Journal Article] Pointwise multipliers on BMO spaces with non-doubling measures2018
- Author(s)
  Li Wei、Nakai Eiichi、Yang Dongyong
- Journal Title
  
  Taiwanese Journal of Mathematics
  
  Volume: 22 Pages: 183-203
- DOI
  10.11650/tjm/8140
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-17K05306
[Journal Article] On inclusion relation between weak Morrey spaces and Morrey spaces2018
- Author(s)
  Gunawan Hendra、Hakim Denny Ivanal、Nakai Eiichi、Sawano Yoshihiro
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 168 Pages: 27-31
- DOI
  10.1016/j.na.2017.11.005
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05209, KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-17K05306
[Journal Article] THE HARDY AND HEISENBERG INEQUALITIES IN MORREY SPACES2018
- Author(s)
  GUNAWAN HENDRA、HAKIM DENNY IVANAL、NAKAI EIICHI、SAWANO YOSHIHIRO
- Journal Title
  
  Bulletin of the Australian Mathematical Society
  
  Volume: 97 Pages: 480-491
- DOI
  10.1017/s0004972717001216
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition2017
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Science China Mathematics
  
  Volume: 60 Pages: 2219-2240
- DOI
  10.1007/s11425-017-9154-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-15H03621
[Journal Article] Fractional integrals on martingale spaces2017
- Author(s)
  Eiichi Nakai and Gaku Sadasue
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2041
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05203
[Journal Article] Pointwise multipliers on several function spaces -- a survey --2017
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 3
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Pointwise multipliers on several function spaces -- a survey --2017
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 3 Pages: 27-59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05306
[Journal Article] Pointwise multipliers on Musielak-Orlicz-Morrey spaces2017
- Author(s)
  Nakai, Eiichi
- Journal Title
  
  Function spaces and inequalities, Springer Proceedings in Mathematics & Statistics
  
  Volume: 206
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces2017
- Author(s)
  Eiichi Nakai and Gaku Sadasue
- Journal Title
  
  Mathematical Inequalities & Applications
  
  Volume: 20 Pages: 929-947
- DOI
  10.7153/mia-2017-20-58
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05203, KAKENHI-PROJECT-15H03621
[Journal Article] Some new properties concerning BLO martingales2017
- Author(s)
  E. Nakai and G.Sadasue
- Journal Title
  
  Tohoku mathematical journal
  
  Volume: 69 Pages: 183-194
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05203
[Journal Article] Some new properties concerning BLO martingales2017
- Author(s)
  Nakai Eiichi、Sadasue Gaku
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 69
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Characterizations of variable exponent Hardy spaces via Riesz transforms2016
- Author(s)
  Dachun Yang, Ciqiang Zhuo and Eiichi Nakai
- Journal Title
  
  Revista Matematica Complutense
  
  Volume: 29
- DOI
  10.1007/s13163-016-0188-z
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces2016
- Author(s)
  Denny Ivanal Hakim, Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  Revista Matematica Complutense
  
  Volume: 29
- DOI
  10.1007/s13163-015-0178-6
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] $B_w^u$-function spaces and their interpolation2016
- Author(s)
  Eiichi Nakai and Takuya Sobukawa
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 39
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Pointwise multipliers on Musielak-Orlicz spaces2016
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: 27
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15H03621
[Journal Article] Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent2015
- Author(s)
  M. Izuki, E. Nakai and Y. Sawano
- Journal Title
  
  Annales Academiae Scientiarum Fennicae Mathematica
  
  Volume: 40 Pages: 551-571
- DOI
  10.5186/aasfm.2015.4032
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23224003, KAKENHI-PROJECT-15H03621
[Journal Article] Generalized fractional integrals on generalized Morrey spaces2014
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 287 Pages: 339-351
- DOI
  10.1002/mana.201200334
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
[Journal Article] Some properties of slowly increasing functions2014
- Author(s)
  Hiroshi Ando, Toshio Horiuchi and Eiichi Nakai
- Journal Title
  
  Mathematical Journal of Ibaraki University
  
  Volume: 46
- NAID
  130004697043
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540159
[Journal Article] Orlicz-Hardy spaces and their duals2014
- Author(s)
  Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  Science China Mathematics
  
  Volume: 57
- DOI
  10.1007/s11425-014-4798-y
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
[Journal Article] Weighted Hardy inequalities with infinitely many sharp missing terms2014
- Author(s)
  Hiroshi Ando, Toshio Horiuchi and Eiichi Nakai
- Journal Title
  
  Mathematical Journal of Ibaraki University
  
  Volume: 46
- NAID
  130004697044
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540159
[Journal Article] Weighted Hardy inequalities with infinitely many sharp missing terms2014
- Author(s)
  Ando Hiroshi, Horiuchi Toshio, Nakai eiichi
- Journal Title
  
  Mathematical Journal of Ibaraki University
  
  Volume: 46 Pages: 9-30
- NAID
  130004697044
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540157
[Journal Article] Weighted Hardy inequalities with infinitely many sharp missing terms2014
- Author(s)
  Ando, Hiroshi; Horiuchi, Toshio; Nakai
- Journal Title
  
  Mathematical Journal of Ibaraki University
  
  Volume: 48 Pages: 9-29
- NAID
  130004697044
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540157
[Journal Article] Function spaces with variable exponents -- an introduction --2014
- Author(s)
  Mitsuo Izuki, Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  Scientiae Mathematicae Japonicae
  
  Volume: 77
- NAID
  130007643061
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540159
[Journal Article] Some properties of slowly increasing functions2014
- Author(s)
  Ando Hiroshi, Horiuchi Toshio, Nakai eiichi
- Journal Title
  
  Mathematical Journal of Ibaraki University
  
  Volume: 46 Pages: 37-49
- NAID
  130004697043
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540157
[Journal Article] Function spaces with variable exponents -- an introduction --2014
- Author(s)
  Mitsuo Izuki, Eiichi Nakai, and Yoshihiro Sawano
- Journal Title
  
  Scientiae Mathematicae Japonicae
  
  Volume: 77
- NAID
  130007643061
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034
[Journal Article] Pointwise multipliers on martingale Campanato spaces2014
- Author(s)
  Eiichi Nakai and Gaku Sadasue
- Journal Title
  
  Studia Mathematica
  
  Volume: 220 Pages: 87-100
- DOI
  10.4064/sm220-1-5
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540171
[Journal Article] Characterizations for the generalized fractional integral operators on Morrey spaces2014
- Author(s)
  Eridani, Hendra Gunawan, Eiichi Nakai, and Yoshihiro Sawano
- Journal Title
  
  Mathematical Inequalities & Applications
  
  Volume: 17
- DOI
  10.7153/mia-17-56
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
[Journal Article] Boundedness of intrinsic Littlewood-Paley functions on Musielak-Orlicz Morrey and Campanato Spaces2014
- Author(s)
  Yiyu Liang, Eiichi Nakai, Dachun Yang and Junqiang Zhang
- Journal Title
  
  Banach Journal of Mathematical Analysis
  
  Volume: 8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540159
[Journal Article] Applications of Littlewood-Paley Theory for B^{\sigma}-Morrey Spaces to the Boundedness of Integral Operators2013
- Author(s)
  Y. Komori-Furuya, K. Matsuoka, E. Nakai and Y. Sawano
- Journal Title
  
  Journal of Function Spaces and Applications
  
  Volume: 2013
- DOI
  10.1155/2013/859402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540194
[Journal Article] The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent2013
- Author(s)
  Mitsuo Izuki, Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540159
[Journal Article] Hardy spaces with variable exponent2013
- Author(s)
  Mitsuo Izuki, Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  RIMS Kokyuroku Bessatsu, Harmonic analysis and nonlinear partial differential equations,
  
  Volume: B42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034
[Journal Article] Martingale Morrey-Hardy and Campanato-Hardy spaces2013
- Author(s)
  Eiichi Nakai, Gaku Sadasue and Yoshihiro Sawano
- Journal Title
  
  Journal of Function Spaces and Applications
  
  Volume: 2013 Pages: 14-14
- DOI
  10.1155/2013/690258
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540171
[Journal Article] Hardy spaces with variable exponent2013
- Author(s)
  Mitsuo Izuki, Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540159
[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] The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent2013
- Author(s)
  Mitsuo Izuki, Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  RIMS Kokyuroku Bessatsu, Harmonic analysis and nonlinear partial differential equations
  
  Volume: B42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034
[Journal Article] Maximal function on generalized martingale Lebesgue spaces with variable exponent2013
- Author(s)
  Eiichi Nakai and Gaku Sadasue
- Journal Title
  
  Statistics & Probability Letters,
  
  Volume: 83 Pages: 2168-2171
- DOI
  10.1016/j.spl.2013.06.007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540171
[Journal Article] Integral operators on B_{\sigma}-Morrey-Campanato spaces2013
- Author(s)
  Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  Revista Matematica Complutense
  
  Volume: 26
- DOI
  10.1007/s13163-011-0091-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
[Journal Article] Bilinear estimates in dyadic BMO and the Navier-Stokes equations2012
- Author(s)
  Eiichi Nakai and Tsuyoshi Yoneda
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: Volume 64, Number 2 Pages: 399-422
- NAID
  10030740240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Bilinear estimates in dyadic BMO and the Navier-Stokes equations2012
- Author(s)
  Eiichi Nakai and Tsuyoshi Yoneda
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 64 Issue: 2 Pages: 399-422
- DOI
  10.2969/jmsj/06420399
- NAID
  10030740240
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
[Journal Article] Hardy spaces with variable exponents and generalized Campanato spaces2012
- Author(s)
  Eiichi Nakai, Yoshihiro Sawano
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 262 Pages: 3665-3748
- DOI
  10.1016/j.jfa.2012.01.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167, KAKENHI-PROJECT-21740104, KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
[Journal Article] Construction of slowly increasing functions2012
- Author(s)
  Hiroshi Ando, Toshio Horiuchi and Eiichi Nakai
- Journal Title
  
  Scientiae Mathematicae Japonicae
  
  Volume: 75
- NAID
  130007663411
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540159
[Journal Article] Martingale Orlicz-Hardy spaces2012
- Author(s)
  Takashi Miyamoto, Eiichi Nakai and Gaku Sadasue
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: Volume 285, Issue 5-6 Pages: 670-686
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Generalized Stummel class and Morrey spaces2012
- Author(s)
  Hendra Gunawan, Eiichi Nakai, Yoshihiro Sawano and Hitoshi Tanaka
- Journal Title
  
  Publications de l'Institut Mathematique
  
  Volume: 92
- DOI
  10.2298/pim1206127g
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
[Journal Article] CONSTRUCTION OF SLOWLY INCREASING FUNCTION2012
- Author(s)
  H. Ando, T. Horiuchi, E. Nakai
- Journal Title
  
  Scientiae Mathematicae Japonicae Online
  
  Volume: 25 Pages: 207-221
- NAID
  130007663411
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540157
[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] Bilinear estimates in dyadic BMO and the Navier-Stokes equations2012
- Author(s)
  Eiichi Nakai, Tsuyoshi Yoneda
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 64 Pages: 399-422
- NAID
  10030740240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034
[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] Bilinear estimates in dyadic BMO and the Navier-Stokes equations2012
- Author(s)
  Eiichi Nakai, Tsuyoshi Yoneda
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 64 Pages: 399-422
- NAID
  10030740240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Martingale Morrey-Campanato spaces and fractional integrals2012
- Author(s)
  Eiichi Nakai and Gaku Sadasue
- Journal Title
  
  Journal of Function Spaces and Applications
  
  Volume: 2012
- DOI
  10.1155/2012/673929
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159, KAKENHI-PROJECT-24540171
[Journal Article] Construction of slowly increasing functions2012
- Author(s)
  Hiroshi Ando, Toshio Horiuchi and Eiichi Nakai
- Journal Title
  
  Scientiae Mathematicae Japonicae
  
  Volume: 75
- NAID
  130007663411
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340034
[Journal Article] Hardy spaces with variable exponents and generalized Campanato spaces2012
- Author(s)
  Eiichi Nakai and Yoshihiro Sawano
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: Volume 262, Issue 9 Pages: 3665-3748
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Martingale Orlicz-Hardy spaces2012
- Author(s)
  Takashi Miyamoto, Eiichi Nakai, Gaku Sadasue
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 285 Pages: 670-686
- DOI
  10.1002/mana.201000109
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167, KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
[Journal Article] Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations2011
- Author(s)
  中井英一, 米田剛
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 40 Pages: 67-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Orlicz-Morrey spaces and their preduals2011
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Banach and Function Spaces III, Yokohama Publishers
  
  Pages: 187-205
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Fractional integral operators on $B^{p,\lambda}$ with Morrey-Campana to norms2011
- Author(s)
  Katsuo Matsuoka, Eiichi Nakai
- Journal Title
  
  Function Spaces IX, Banach Center Publications
  
  Volume: 92 Pages: 249-264
- DOI
  10.4064/bc92-0-17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[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] Boundedness of Lusin-area and $g_{￥lambda}^*$ functions on localized BMO spaces over doubling metric measure spaces2011
- Author(s)
  Haibo Lin, 中井英一, Dachun Yang
- Journal Title
  
  Bulletin des Sciences Mathematiques
  
  Volume: 135 Pages: 59-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[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] Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations2011
- Author(s)
  E. Nakai, T. Yoneda
- Journal Title
  
  Hkkaido Math. J.
  
  Volume: 40-1 Pages: 67-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540153
[Journal Article] Boundedness of Lusin-area and $g {\lambda}^*$ functions on localized Morrey-Campanato spaces over doubling metric measure spaces2011
- Author(s)
  Haibo Lin, Eiichi Nakai, Dachun Yang
- Journal Title
  
  Journal of Function Spaces and Applications
  
  Volume: 9 Pages: 245-282
- DOI
  10.1155/2011/187597
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Boundedness of Lusin-area and g_<{lambda}> functions on localized BMO spaces over doubling metric measure spaces2011
- Author(s)
  Haibo Lin, Eiichi Nakai and Dachun Yang
- Journal Title
  
  Bulletin des Sciences Mathematiques
  
  Volume: Vol.135, No.1 Pages: 59-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Boundedness of Lusin-area and g_<{lambda}> functions on localized Morrey-Campanato spaces over doubling metric measure spaces2011
- Author(s)
  Haibo Lin, Eiichi Nakai and Dachun Yang
- Journal Title
  
  Journal of Function Spaces and Applications
  
  Volume: Volume 9, Issue 3 Pages: 245-282
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations2011
- Author(s)
  Eiichi Nakai and Tsuyoshi Yoneda
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: Vol.40, No.1 Pages: 67-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[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] 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] Pointwise multipliers of Orlicz spaces2010
- Author(s)
  L. Maligranda, E. Nakai
- Journal Title
  
  Arch. Math.(Basel)
  
  Volume: 95-3 Pages: 251-256
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540153
[Journal Article] Singular and fractional integral operators on Campanato spaces with variable growth conditions2010
- Author(s)
  E. Nakai
- Journal Title
  
  Rev. Mat. Complut
  
  Volume: 23-2 Pages: 355-381
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540153
[Journal Article] Estimates for Lusin-area and Littlewood-Paley g_<{lambda}> functions over spaces of homogeneous type2010
- Author(s)
  Yan Meng, Eiichi Nakai and Dachun Yang
- Journal Title
  
  Nonlinear Anal
  
  Volume: Vol.72, No.5 Pages: 2721-2736
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010
- Author(s)
  Y. Mizuta, E. Nakai, T. Ono, T. Simomura
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 62-3 Pages: 707-744
- NAID
  10027870763
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540153
[Journal Article] Journal of Functional. Analysis2010
- Author(s)
  Shigehiko Kuratsubo, Eiich Nakai and Kazuya Ootsubo
- Journal Title
  
  Journal of Functional. Analysis
  
  Volume: 259 Pages: 315-342
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540166
[Journal Article] Singular and fractional integral operators on Campanato spaces with variable growth conditions2010
- Author(s)
  中井英一
- Journal Title
  
  Rev.Mat.Complut. Vol.23, No.2
  
  Pages: 355-381
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540153
[Journal Article] Generalized Hardy identity and relations to Gibbs-Wilbraham and Pinsky phenomena2010
- Author(s)
  倉坪茂彦, 中井英一, 大坪和弥
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 259 Pages: 315-342
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Singular and fractional integral operators on Campanato spaces with_variable growth conditions2010
- Author(s)
  中井英一
- Journal Title
  
  Rev.Mat.Complut.
  
  Volume: Vol.23, No.2 Pages: 355-381
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540153
[Journal Article] Singular and fractional integral operators on Campanato spaces with variable growth conditions2010
- Author(s)
  中井英一
- Journal Title
  
  Revista Matematica Complutense
  
  Volume: 23 Pages: 355-381
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[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] Pointwise multipliers of Orlicz spaces2010
- Author(s)
  Lech Maligranda and Eiichi Nakai
- Journal Title
  
  Archiv der Mathematik
  
  Volume: Vol.95, No.3 Pages: 251-256
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Estimates for Lusin-area and Littlewood-Paley $g^*_{\lambda}$ functions over spaces of homogeneous type2010
- Author(s)
  Yan Meng, 中井英一, Dachun Yang
- Journal Title
  
  Nonlinear Analysis : Theory, Methods & Applications 72
  
  Pages: 2721-2736
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Pointwise multipliers of Orlicz spaces2010
- Author(s)
  Lech Maligranda, 中井英一
- Journal Title
  
  Archiv der Mathematik
  
  Volume: 95 Pages: 251-256
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Singular and fractional integral operators on Campanato spaces with variable growth conditions2010
- Author(s)
  中井英一
- Journal Title
  
  Revista Matematica Complutense Vol.23
  
  Pages: 355-381
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Predual of Campanato spaces and Riesz potentials2009
- Author(s)
  中井英一
- Journal Title
  
  京都大学数理解析研究所講究録 1669
  
  Pages: 122-131
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Convergence of some truncated Riesz transforms on predual of generalized Campanato spaces and its application to a uniqueness theorem for nondecaying solutions of Navier-Stokes equations2009
- Author(s)
  中井英一, 米田剛
- Journal Title
  
  京都大学数理解析研究所講究録 1667
  
  Pages: 71-79
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Construction of solutions, for the initial value problem of a functional-differential equation of advanced type2009
- Author(s)
  中井英一
- Journal Title
  
  Aequationes Mathematicae Vol.77, No.3
  
  Pages: 259-272
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540153
[Journal Article] Construction of solutions for the initial value problem of a functional-differential equation of advanced type2009
- Author(s)
  中井英一, 米田剛
- Journal Title
  
  Aequationes Mathematicae 77
  
  Pages: 259-272
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Orlicz-Morrey spaces and the Hardy-Littlewood maximal function2008
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Studia Mathematica vol.188
  
  Pages: 193-221
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540198
[Journal Article] Orlicz-Morrey spaces and the Hardy-Littlewood maximal function2008
- Author(s)
  中井英一
- Journal Title
  
  Studia Mathematica 188
  
  Pages: 193-221
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] A generalization of Hardy spaces H^p by using atoms2008
- Author(s)
  中井英一
- Journal Title
  
  Acta Mathematica Sinica 24
  
  Pages: 1243-1268
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] A generalization of Hardy spaces on spaces of homogeneous type2008
- Author(s)
  中井英一
- Journal Title
  
  京都大学数理解析研究所講究録 1615
  
  Pages: 99-106
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] A generalization of Hardy spaces H^p by using atoms2008
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Acta Mathematica Sinica vol.24
  
  Pages: 1243-1268
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540198
[Journal Article] Orlicz-Morrey spaces and the Hardy-Littlewood maximal function2008
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Studia Mathematica
  
  Volume: Vol.188, No.3 Pages: 193-221
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] Calderon-Zygmund operators on Orlicz-Morrey spaces and modular inequalities2008
- Author(s)
  中井英一
- Journal Title
  
  Banach and Function Spaces II, Yokohama Publishers
  
  Pages: 393-410
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[Journal Article] A generalization of Hardy spaces H^p by using atoms2008
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Acta Mathematica Sinica
  
  Volume: Vol.24 Pages: 1243-1268
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540167
[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] An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces L^{1, ν, β}(G)2008
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura
- Journal Title
  
  Hiroshima Mathematical Journal vol.38
  
  Pages: 425-436
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540198
[Journal Article] Orlicz-Morrey spaces and the Hardy-Littlewood maximal function2008
- Author(s)
  中井英一
- Journal Title
  
  Studia Mathematica 188 No3
  
  Pages: 193-221
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540153
[Journal Article] Preduals of Morrey-Campanato spaces2007
- Author(s)
  中井英一
- Journal Title
  
  京都大学数理解析研究所講究録 1570
  
  Pages: 46-53
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] Calderon-Zygmund operators on amalgam spaces and in the discrete case2007
- Author(s)
  Norio Kikuchi, Eiichi Nakai, Naohito Tomita, Kozo Yabuta and Tsuyoshi Yoneda
- Journal Title
  
  J. of Math. Analysis and Applications vol.335
  
  Pages: 198-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540198
[Journal Article] Preduals of Morrey-Campanato spaces2007
- Author(s)
  E. Nakai
- Journal Title
  
  Kyoto Univesity RIMS Kokyuroku(nonrefereed) 1570
  
  Pages: 46-53
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] Calderon-Zygmund operators on amalgam spaces and in the discrete case2007
- Author(s)
  中井英一
- Journal Title
  
  J. Math. Anal. and Appl. 335
  
  Pages: 198-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540198
[Journal Article] Preduals of Morrey-Campanato spaces2007
- Author(s)
  中井英一
- Journal Title
  
  京都大学数理解析研究所講究録 1570
  
  Pages: 46-53
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] The Campanato, Morrey and H\ older spaces on spaces of homogeneous type2006
- Author(s)
  E. Nakai
- Journal Title
  
  Studia Mathematica(refereed) 176
  
  Pages: 1-19
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] On the Pinsky Phenomenon of Fourier Series of the Indicator Function in Several Variables2006
- Author(s)
  Shigehiko Kuratsubo, Eiichi Nakai, Kazuya Ootsubo
- Journal Title
  
  Memoirs of Osaka Kyoiku University, Ser. III Natural Science and Applied Science 55
  
  Pages: 1-20
- NAID
  110006161929
- Data Source
  KAKENHI-PROJECT-17654033
[Journal Article] Construction of an atomic decosmposition for functions with compact support2006
- Author(s)
  E. Nakai
- Journal Title
  
  Journal of Mathesnatieal Analysis and Applications(refereed) 313
  
  Pages: 730-737
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] The Campanato, Morrey and Holder spaces on spaces of homogeneous type2006
- Author(s)
  NAKAI Eiichi
- Journal Title
  
  Studia Mathematica 176
  
  Pages: 1-19
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] On Orlicz-Morrey spaces2006
- Author(s)
  中井英一
- Journal Title
  
  京都大学数理解析研究所講究録 1520
  
  Pages: 78-88
- Data Source
  KAKENHI-PROJECT-17654033
[Journal Article] Construction of an atomic decomposition for functions with compact support2006
- Author(s)
  NAKAI Eiichi
- Journal Title
  
  Journal of Mathematical Analysis and Applications 313
  
  Pages: 730-737
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] Construction of an atomic decomposition for functions with compact support2006
- Author(s)
  Eiichi Nakai
- Journal Title
  
  J. of Math. Analysis and Applications Vol.313
  
  Pages: 730-737
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540198
[Journal Article] On Orlicz-Morrey spaces2006
- Author(s)
  E. Nakai
- Journal Title
  
  Kyoto Univesity RIMS Kokyuroku(nonrefereed) 1520
  
  Pages: 78-88
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] Construction of an atomic decomposition for functions with compact support2006
- Author(s)
  Nakai, Eiichi
- Journal Title
  
  J. Math. Anal. Appl. 313
  
  Pages: 730-737
- Data Source
  KAKENHI-PROJECT-17540146
[Journal Article] The Campanato, Morrey and Holder spaces on spaces of homogeneous type2006
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Studia Mathematica 176
  
  Pages: 1-19
- Data Source
  KAKENHI-PROJECT-17654033
[Journal Article] The Campanato, Morrey and Holder spaces on spaces of homogeneous type2006
- Author(s)
  Nakai, Eiichi
- Journal Title
  
  Studia Math. 176
  
  Pages: 1-19
- Data Source
  KAKENHI-PROJECT-17540146
[Journal Article] フーリエマルチプライヤーと関数の合成積による分解について2006
- Author(s)
  中井英一
- Journal Title
  
  京都大学数理解析研究所講究録 1478
  
  Pages: 116-126
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] Construction of an atomic decomposition for functions with compact support2006
- Author(s)
  Nakai, Eiichi
- Journal Title
  
  J.Math.Anal.Appl. 313
  
  Pages: 730-737
- Data Source
  KAKENHI-PROJECT-17540146
[Journal Article] Fourier Multipliers and decomposition of functions in terms of convolution2006
- Author(s)
  E. Nakai
- Journal Title
  
  Kyoto Univesity RIMS Kokyuroku(nonrefereed) 1478
  
  Pages: 116-126
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] Construction of an atomic decomposition for functions with compact support2006
- Author(s)
  Eiichi Nakai
- Journal Title
  
  Journal of Mathematical Analysis an Applications Vol.313
  
  Pages: 730-737
- Data Source
  KAKENHI-PROJECT-17654033
[Journal Article] Construction of an atomic decomposition for functions with compact support2006
- Author(s)
  E.Nakai
- Journal Title
  
  Journal of Mathematical Analysis and Applications 313
  
  Pages: 730-737
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] The Campanato,Morrey and H\"older spaces on spaces of homogeneous type2006
- Author(s)
  E.Nakai
- Journal Title
  
  Studia Mathematica 176
  
  Pages: 1-19
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] フーリエマルチフライヤーと関数の合成積による分解について2006
- Author(s)
  中井英一, 富田直人, 薮田公三
- Journal Title
  
  京都大学数理解析研究所講究録 1478
  
  Pages: 116-126
- Data Source
  KAKENHI-PROJECT-17654033
[Journal Article] On Orlicz-Morrey spaces2006
- Author(s)
  中井英一
- Journal Title
  
  京都大学数理解析研究所講究録 1520
  
  Pages: 78-88
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540198
[Journal Article] Extensions of Fig a-Talamanca's multiplier theorem to Banach function spaces2005
- Author(s)
  冨田直人, 中井英一, 薮田公三
- Journal Title
  
  京都大学数理解析研究所講究録 No.1455
  
  Pages: 1-7
- Data Source
  KAKENHI-PROJECT-17654033
[Journal Article] ある種のMorrey空間、Amalgam空間上での特異積分作用素の有界性2005
- Author(s)
  米田剛, 冨田直人, 中井英一, 薮田公三
- Journal Title
  
  京都大学数理解析研究所講究録 No.1455
  
  Pages: 128-136
- NAID
  110001901017
- Data Source
  KAKENHI-PROJECT-17654033
[Journal Article] On generalized fractional integral operators2004
- Author(s)
  E.Nakai 他
- Journal Title
  
  Sci.Math.Jpn. 60・3
  
  Pages: 539-550
- NAID
  10014189606
- Data Source
  KAKENHI-PROJECT-14540205
[Journal Article] On generalized fractional integral operators.2004
- Author(s)
  H.Eridani, E.Nakai
- Journal Title
  
  Sci.Math.Jpn. Vol.60 no.3
  
  Pages: 539-550
- NAID
  10014189606
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540205
[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] Integral operators on B_<{sigma}>-Morrey-Campanato spaces
- Author(s)
  Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai and Yoshihiro Sawano
- 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)
  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] Calderon-Zygmund operators on amalgam spaces and in the discrete case
- Author(s)
  Norio Kikuchi, Eiichi Nakai, Naohito Tomita, Kozo Yabuta, Tsuyoshi Yoneda
- Journal Title
  
  Journal of Mathematical Analysis and Applications (印刷中)
- Data Source
  KAKENHI-PROJECT-17654033
[Presentation] An extension of the characterization of CMO and its application to compact commutators on Morrey spaces2019
- Author(s)
  新井龍太郎、中井英一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] A relation of multiple Fourier series and Gauss's circle problems2019
- Author(s)
  Eiichi Nakai
- Organizer
  International Conference on Function Spaces and Geometric Analysis and Their Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18731
[Presentation] Pointwise multipliers and generalized Campanato spaces with variable growth condition I, II, III2019
- Author(s)
  中井英一
- Organizer
  RIMS共同研究 (公開型) 「関数空間論とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-17K05306
[Presentation] Sharp maximal function and Orlicz-Morrey spaces2019
- Author(s)
  石明磊, 中井英一
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05306
[Presentation] Generalized fractional maximal operators on Orlicz-Morrey spaces2019
- Author(s)
  石明磊、新井龍太郎、中井英一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Multiple Fourier series and lattice point problems2019
- Author(s)
  Eiichi Nakai
- Organizer
  The 7th East Asian Conference in Harmonic Analysis and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K18731
[Presentation] 多変数フーリエ級数とガウスの円問題2019
- Author(s)
  倉坪茂彦, 中井英一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-17K18731
[Presentation] Pointwise multipliers on weak Morrey spaces2019
- Author(s)
  川澄亮太、中井英一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Generalized fractional maximal operators on Orlicz spaces2018
- Author(s)
  石明磊、中井英一
- Organizer
  実解析学シンポジウム2018
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Commutators of integral operators with functions in generalized Campanato spaces with variable growth condition2018
- Author(s)
  Eiichi Nakai
- Organizer
  International Conference on Harmonic Analysis and Its Applications (Beijing, China)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05306
[Presentation] Campanato spaces and commutators of generalized fractional integral operators on Orlicz spaces2018
- Author(s)
  石明磊、新井龍太郎、中井英一
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Generalized fractional integrals on Orlicz spaces2018
- Author(s)
  中井英一
- Organizer
  RIMS研究集会「関数空間の深化とその周辺」
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Commutators of integral operators with functions in generalized Campanato spaces with variable growth condition2018
- Author(s)
  Nakai Eiichi
- Organizer
  International Conference on Harmonic Analysis and Its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Compact commutators of Calderon-Zygmund and generalized fractional integral operators with a function in Campanato spaces on generalized Morrey spaces2018
- Author(s)
  石明磊，中井英一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-17K05306
[Presentation] Compact commutators on generalized Morrey spaces2018
- Author(s)
  新井龍太郎、中井英一
- Organizer
  実解析学シンポジウム2018
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Commutators of generalized fractional integral operators on Orlicz spaces2018
- Author(s)
  石明磊、中井英一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Generalized Campanato spaces with variable growth condition2018
- Author(s)
  中井英一
- Organizer
  RIMS共同研究（公開型）「調和解析と非線形偏微分方程式」
- Invited
- Data Source
  KAKENHI-PROJECT-17K05306
[Presentation] Pointwise multipliers on BMO spaces with non-doubling measures2018
- Author(s)
  Nakai Eiichi
- Organizer
  The 6th East Asian Conference in Harmonic Analysis and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Commutators of integral operators with a function in generalized Campanato spaces2018
- Author(s)
  新井龍太郎、中井英一
- Organizer
  RIMS研究集会「関数空間の深化とその周辺」
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Commutators of fractional integrals on martingale Morrey spaces2018
- Author(s)
  貞末岳・中井英一
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-16K05203
[Presentation] Fractional integrals on martingale Orlicz spaces2018
- Author(s)
  新井龍太郎、中井英一、貞末岳
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Commutators of fractional integrals on martingale Morrey spaces2018
- Author(s)
  貞末岳、中井英一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Compact commutators of Calderon-Zygmund and generalized fractional integral operators with a function in Campanato spaces on generalized Morrey spaces2018
- Author(s)
  新井龍太郎、中井英一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Fractional integrals and their commutators on martingale Orlicz spaces2018
- Author(s)
  新井龍太郎、中井英一、貞末岳
- Organizer
  RIMS研究集会「関数空間の一般化とその周辺」
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Generalized Campanato spaces with variable growth condition2018
- Author(s)
  Nakai Eiichi
- Organizer
  RIMS Workshop on Harmonic Analysis and Nonlinear Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Pointwise multipliers on BMO spaces with non-doubling measures2018
- Author(s)
  Eiichi Nakai
- Organizer
  The 6th East Asian Conference in Harmonic Analysis and Applications (Osaka, Japan)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05306
[Presentation] Pointwise multipliers on weak Orlicz spaces2018
- Author(s)
  川澄亮太、中井英一
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Generalized fractional integrals on Orlicz spaces2018
- Author(s)
  中井英一
- 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] Commutators generated by generalized fractional integral operators and functions in Campanato spaces with variable growth condition2017
- Author(s)
  新井龍太郎、中井英一
- Organizer
  実解析学シンポジウム2017
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Fractional integrals on martingale spaces,2017
- Author(s)
  貞末岳, 中井英一
- Organizer
  RIMS研究集会「関数空間の構造とその周辺」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2017-02-06
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Commutators of Calderon-Zygmund and generalized fractional integral operators on generalized Morrey spaces with variable growth condition2017
- Author(s)
  新井龍太郎、中井英一
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces2017
- Author(s)
  貞末岳, 中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京南大沢キャンパス
- Year and Date
  2017-03-24
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces2017
- Author(s)
  貞末　岳・中井　英一
- Organizer
  日本数学会
- Place of Presentation
  首都大学東京（東京都・八王子市）
- Year and Date
  2017-03-26
- Data Source
  KAKENHI-PROJECT-16K05203
[Presentation] Fractiona integrals on martingale Morrey spaces2017
- Author(s)
  貞末　岳・中井　英一
- Organizer
  関数空間の構造とその周辺
- Place of Presentation
  京都大学数理解析研究所（京都府・京都市）
- Year and Date
  2017-02-09
- Data Source
  KAKENHI-PROJECT-16K05203
[Presentation] Commutators generated by generalized fractional integral operators and functions in Campanato spaces with variable growth condition2017
- Author(s)
  新井龍太郎，中井英一
- Organizer
  実解析学シンポジウム2017
- Data Source
  KAKENHI-PROJECT-17K05306
[Presentation] Pointwise multipliers on Musielak-Orlicz-Morrey spaces2016
- Author(s)
  Eiichi Nakai
- Organizer
  RIMS研究集会「等距離写像研究の多角的アプローチ」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-10-31
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Pointwise multipliers on Musielak-Orlicz spaces2016
- Author(s)
  中井英一
- Organizer
  実解析学シンポジウム2016
- Place of Presentation
  奈良女子大学理学部,
- Year and Date
  2016-10-21
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] 4次元におけるフーリエ球形部分和2016
- Author(s)
  大坪和弥, 倉坪茂彦, 中井英一, 藤間昌一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  関西大学
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Vector-valued inequalities for the Hardy-Littlewood maximal operator on generalized Orlicz-Morrey spaces2015
- Author(s)
  Denny Ivanal Hakim, 澤野嘉宏, 中井英一
- Organizer
  実解析学シンポジウム2015
- Place of Presentation
  東邦大学習志野キャンパス（千葉県習志野市）
- Year and Date
  2015-10-23
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Pointwise multipliers on several function spaces2015
- Author(s)
  Eiichi Nakai
- Organizer
  The Fifth International Symposium on Banach and Function Spaces 2015
- Place of Presentation
  九州工業大学（福岡県北九州市）
- Year and Date
  2015-09-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] Linear operators on generalized Morrey spaces2015
- Author(s)
  Denny Ivanal Hakim, 中井英一, 澤野嘉宏
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学（京都府京都市）
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] 4次元における Kuratsubo 現象について2015
- Author(s)
  大坪和弥, 倉坪茂彦, 中井英一
- Organizer
  実解析学シンポジウム2015
- Place of Presentation
  東邦大学習志野キャンパス（千葉県習志野市）
- Year and Date
  2015-10-23
- Data Source
  KAKENHI-PROJECT-15H03621
[Presentation] A characterization of BLO martingales2014
- Author(s)
  中井英一, 貞末岳
- Organizer
  日本数学会年会
- Place of Presentation
  学習院大学目白キャンパス
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Pointwise multipliers on martingale Campanato spaces2013
- Author(s)
  貞末岳, 中井英一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学城北キャンパス
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Maximal function on generalized martingale Lebesgue spaces with variable exponent2013
- Author(s)
  貞末岳, 中井英一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学城北キャンパス
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Generalized fractional integrals on Morrey spaces with variable exponenｔ2013
- Author(s)
  Eiichi Nakai
- Organizer
  Asian Mathematical Conference 2013
- Place of Presentation
  Busan Exhibition and Convention Center (BEXCO), Busan, Korea
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Lebesgue and Morrey spaces with variable exponent2013
- Author(s)
  中井英一
- Organizer
  月曜解析セミナー
- Place of Presentation
  北海道大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] A note on BLO martingales2013
- Author(s)
  中井英一, 貞末岳
- Organizer
  実解析学シンポジウム2013
- Place of Presentation
  岡山大学教育学部
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Generalized Morrey-Campanato spaces of martingales2013
- Author(s)
  貞末岳, 澤野嘉宏, 中井英一
- Organizer
  日本数学会年会、実関数論分科会
- Place of Presentation
  京都大学吉田キャンパス
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] The Gibbs-Wilbraham, Pinsky and the third phenomena for the multiple Fourier series2013
- Author(s)
  Shigehiko Kuratsubo and Eiichi Nakai
- Organizer
  1st East Asian Conference in Harmonic analysis and Applications
- Place of Presentation
  Seoul National University, Seoul, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Pointwise multipliers on BMO and generalized L^p spaces with variable exponent2013
- Author(s)
  Eiichi Nakai
- Organizer
  Seminar on harmonic analysis
- Place of Presentation
  Xiamen University, China
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Generalized Morrey-Campanato spaces of martingales2013
- Author(s)
  貞末岳, 澤野嘉宏, 中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Convergence and divergence of the multiple Fourier series2013
- Author(s)
  Eiichi Nakai
- Organizer
  Seminar on harmonic analysis
- Place of Presentation
  Xiamen University, China
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Pointwise multipliers on BMO and related topics2013
- Author(s)
  Eiichi Nakai
- Organizer
  Function spaces and their applications
- Place of Presentation
  Beijing Normal University, Beijing, China
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Integral operators on B_{\sigma}-Morrey-Campanato spaces2012
- Author(s)
  古谷康雄, 松岡勝男, 中井英一, 澤野嘉宏
- Organizer
  日本数学会年会実関数論分科会
- Place of Presentation
  東京理科大学神楽坂キャンパス
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] Morrey spaces with variable exponent and variable growth condition2012
- Author(s)
  Eiichi Nakai
- 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
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Construction of slowly increasing functions2012
- Author(s)
  安藤広、堀内利郎、中井英一
- Organizer
  日本数学会
- Place of Presentation
  東京
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-20540153
[Presentation] Integral operators on B_<{sigma}>-Morrey-Campanato spaces2012
- Author(s)
  古谷康雄,松岡勝男,中井英一,澤野嘉宏
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大学神楽坂キャンパス
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-20540167
[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、実関数論分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] Generalized fractional integrals of variable order2012
- Author(s)
  Eiichi Nakai
- Organizer
  Harmonic Analysis and its Applications at Tokyo 2012
- Place of Presentation
  首都大学東京
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Generalized Morrey spaces and generalized fractional integrals2012
- Author(s)
  Eiichi Nakai
- Organizer
  International Symposium on Banach and Function Spaces 2012
- Place of Presentation
  九州工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] 変動する指標をもつ関数空間 32012
- Author(s)
  中井英一
- Organizer
  調和解析セミナー
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Very slowly increasing functions, Harmonic Analysis and its Applications2012
- Author(s)
  Eiichi Nakai
- Organizer
  Harmonic Analysis and its Applications
- Place of Presentation
  中国 Beijing University of Aeronautics and Astronautics
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Fractional integrals2012
- Author(s)
  Eiichi Nakai
- Organizer
  Symposium on harmonic analysis
- Place of Presentation
  中国 Beijing Normal University
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Generalized fractional integrals on martingale Morrey-Campanato spaces2012
- Author(s)
  貞末岳, 中井英一, 澤野嘉宏
- Organizer
  実解析学シンポジウム2012
- Place of Presentation
  茨城大学理学部
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] 重み付きHardyの不等式の精密化について2012
- Author(s)
  安藤広, 堀内利郎, 中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大学神楽坂キャンパス
- Year and Date
  2012-03-27
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Generalized fractional integrals on martingale Morrey-Campanato spaces2012
- Author(s)
  貞末岳, 中井英一, 澤野嘉宏
- Organizer
  実解析学シンポジウム2012
- Place of Presentation
  茨城大学
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Weak type Morrey spaces with variable exponents2012
- Author(s)
  中井英一
- Organizer
  実解析学シンポジウム2012
- Place of Presentation
  茨城大学
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] 変動する指標をもつ関数空間 1, 2, 32012
- Author(s)
  中井英一
- Organizer
  調和解析セミナー
- Place of Presentation
  東京大学大学院数理科学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] Generalized fractional integrals of variable order2012
- Author(s)
  Eiichi Nakai
- Organizer
  研究集会「Harmonic Analysis and its Applications at Tokyo 2012」
- Place of Presentation
  首都大学東京、国際交流会館
- Invited
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] Construction of slowly increasing functions2012
- Author(s)
  安藤広, 堀内利郎, 中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大学神楽坂キャンパス
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-20540167
[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] 変動する指標をもつ関数空間 12012
- Author(s)
  中井英一
- Organizer
  調和解析セミナー
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] 変動する指標をもつ関数空間 22012
- Author(s)
  中井英一
- Organizer
  調和解析セミナー
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Maximal function and fractional integrals on martingale Morrey-Campanato spaces2012
- Author(s)
  貞末岳,中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大学神楽坂キャンパス
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] 重み付きハーディの不等式の精密化に付いて2012
- Author(s)
  安藤広、堀内利郎、中井英一
- Organizer
  日本数学会
- Place of Presentation
  東京
- Year and Date
  2012-03-27
- Data Source
  KAKENHI-PROJECT-20540153
[Presentation] Integral operators on $B_\sigma}$-Morrey-Campanato spaces2012
- Author(s)
  古谷康雄, 松岡勝男, 中井英一, 澤野嘉宏
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大学神楽坂キャンパス
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Generalized Morrey spaces and generalized fractional integrals2012
- Author(s)
  Eiichi Nakai
- Organizer
  International Symposium on Banach and Function Spaces 2012
- Place of Presentation
  九州工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Morrey spaces with variable exponent and variable growth condition2012
- Author(s)
  Eiichi Nakai
- 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
- Invited
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] Morrey-Campanato spaces2012
- Author(s)
  Eiichi Nakai
- Organizer
  Symposium on harmonic analysis
- Place of Presentation
  中国 Beijing Normal University
- Invited
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Weak type Morrey spaces with variable exponents2012
- Author(s)
  中井英一
- Organizer
  実解析学シンポジウム2012
- Place of Presentation
  茨城大学理学部
- Data Source
  KAKENHI-PROJECT-23340034
[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] Martingale Orlicz-Hardy spaces2011
- Author(s)
  貞末岳, 宮本孝志, 中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学理工学術院
- Year and Date
  2011-03-20
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Martingale Morrey-Campanato spaces and fractional integrals2011
- Author(s)
  貞末岳, 中井英一
- Organizer
  実解析学シンポジウム2011
- Place of Presentation
  信州大学長野キャンパス
- Year and Date
  2011-10-06
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Hardy spaces with variable exponents and generalized Campanato spaces2011
- Author(s)
  Eiichi Nakai and Yoshihiro Sawano
- Organizer
  8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis
- Place of Presentation
  Tabarz (Germany)
- Year and Date
  2011-09-23
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] $B^{\sigma}$-function spaces2011
- Author(s)
  古谷康雄, 松岡勝男, 中井英一, 澤野嘉宏
- Organizer
  研究集会「ハーディー空間などに関する最近の研究について」
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2011-09-10
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Pointwise multipliers of Orlicz spaces2011
- Author(s)
  Lech Maligranda, 中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学理工学術院
- Year and Date
  2011-03-20
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] $B^{\sigma}$-spaces and integral operators2011
- Author(s)
  Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai, Yoshihiro Sawano
- Organizer
  8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis
- Place of Presentation
  Tabarz (Germany)
- Year and Date
  2011-09-20
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] $B^{\sigma}$-function spaces and sublinear operators2011
- Author(s)
  古谷康雄, 松岡勝男, 中井英一, 澤野嘉宏
- Organizer
  実解析学シンポジウム2011
- Place of Presentation
  信州大学長野キャンパス
- Year and Date
  2011-10-04
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Singular integral operators and $B^{p,\lambda}$ with Morrey-Campanato norms2011
- Author(s)
  松岡勝男, 中井英一
- Organizer
  研究集会「バナッハ空間論の研究とその周辺」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-02-15
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Hardy spaces with variable exponents2011
- Author(s)
  澤野嘉宏、中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学理工学術院
- Year and Date
  2011-03-20
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Classical operators on $B^{p,\lambda}$ spaces with Morrey-Campanato norms2011
- Author(s)
  松岡勝男, 中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学理工学術院
- Year and Date
  2011-03-20
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] $B＾{￥sigma}$-Morrey-Campanato spaces and fractional integral operators2011
- Author(s)
  中井英一
- Organizer
  京都大学GCOE/プロジエクト「少人数国際研究協力事業」
- Place of Presentation
  京都大学
- Year and Date
  2011-01-11
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Martingale Morrey-Campanato spaces2011
- Author(s)
  中井英一, 貞末岳
- Organizer
  研究集会「バナッハ空間論の研究とその周辺」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-02-15
- 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] B^{sigma}-spaces and integral operators2011
- Author(s)
  Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai and Yoshihiro Sawano
- Organizer
  8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis
- Place of Presentation
  Tabarz, Germany
- Year and Date
  2011-09-20
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Martingale Orlicz-Hardy spaces and Campanato spaces2011
- Author(s)
  貞末岳, 宮本孝志, 中井英
- 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
  2011-09-28
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] BMO and BLO2010
- Author(s)
  中井英一
- Organizer
  第3回バナジハ空間セミナー
- Place of Presentation
  九州工業大学
- Year and Date
  2010-04-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Martingale Orlicz-Hardy spaces2010
- Author(s)
  宮本孝志, 中井英一, 貞末岳
- Organizer
  実解析学シンポジウム2010
- Place of Presentation
  九州工業大学
- Year and Date
  2010-11-12
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] BMO, BLO and their localized spaces on doubling metric measure spaces, and, Lusin-area and g_<lambda> functions2010
- Author(s)
  Haibo Lin, Yan Meng,中井英一, Dachun Yang
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] On $B^{p,￥lambda}$ spaces with Morrey-Campanato norms2010
- Author(s)
  松岡勝男, 中井英一
- Organizer
  実解析学シンポジウム2010
- Place of Presentation
  九州工業大学
- Year and Date
  2010-11-13
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Riesz potentials on $B^{p,￥lambda}$ with Morrey-Campanato norms2010
- Author(s)
  松岡勝男, 中井英一
- 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-20540167
[Presentation] Local BMO and BLO2010
- Author(s)
  中井英一
- Organizer
  可換Banach環と種々の分野との交流
- Place of Presentation
  山形大学
- Year and Date
  2010-06-27
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Hardy spaces with variable exponents2010
- Author(s)
  中井英一, 澤野嘉宏
- Organizer
  実解析学シンポジウム2010
- Place of Presentation
  九州工業大学
- Year and Date
  2010-11-12
- Data Source
  KAKENHI-PROJECT-20540167
[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] Campanato spaces with variable growth conditions2010
- Author(s)
  中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  慶應義塾大学理工学部
- Year and Date
  2010-03-27
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Campanato spaces with variable growth conditions2010
- Author(s)
  中井英一
- Organizer
  日本数学会年日本数学会年会
- Place of Presentation
  慶應義塾大学理工学部
- Year and Date
  2010-03-27
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] BMO, BLO and their localized spaces on doubling metric measure spaces, and, Lusin-area and $g_{￥lambda}^*$ functions2010
- Author(s)
  Haibo Lin, Yan Meng, 中井英一, Dachun Yang
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Convergence of some truncated Riesz transforms on predual of generalized Campanato spaces and its application to a uniqueness theorem for nondecaying solutions of Navier-Stokes equations2009
- Author(s)
  中井英一, 米田剛
- Organizer
  バナッハ空間及び関数空間論における幾何学的構造の研究とその応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-05-21
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Campanato spaces with variable growth conditions2009
- Author(s)
  中井英一
- Organizer
  Symposium on function spaces and their applications
- Place of Presentation
  Beijing Normal University(北京師範大学)
- Year and Date
  2009-08-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Riesz transforms on generalized Hardy spaces with an application2009
- Author(s)
  Eiichi Nakai and Tsuyoshi Yoneda
- Organizer
  International Conference on Harmonic Analysis and Approximation Theory
- Place of Presentation
  Beijing Normal University, China
- Year and Date
  2009-11-21
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Orlicz-Morrey spaces2009
- Author(s)
  Eiichi Nakai
- Organizer
  Symposium on function spaces and their applications
- Place of Presentation
  Beijing Normal University, China
- Year and Date
  2009-08-26
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Orlicz-Morrey spaces and their preduals2009
- Author(s)
  中井英一
- Organizer
  The 3rd International Symposium on Banach and Function Spaces 2009
- Place of Presentation
  九州工業大学
- Year and Date
  2009-09-15
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Singular and fractional integral operators on predual of Campanato spaces2009
- Author(s)
  中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] Orlicz-Morrey spaces2009
- Author(s)
  中井英一
- Organizer
  Symposium on function spaces and their applications
- Place of Presentation
  Beijing Normal University(China)
- Year and Date
  2009-08-26
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Singular and fractional integral operators on generalized Campanato spaces2009
- Author(s)
  中井英一
- Organizer
  実解析学シンポジウム2009
- Place of Presentation
  城西大学
- Year and Date
  2009-10-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Campanato spaces with variable growth conditions2009
- Author(s)
  Eiichi Nakai
- Organizer
  Symposium on function spaces and their applications
- Place of Presentation
  Beijing Normal University, China
- Year and Date
  2009-08-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Singular and fractional integral operators on predual of Campanato spaces2009
- Author(s)
  中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  東京大学駒場キャンパス
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Generalized Campanato spaces and the uniqueness of nondecaying solutions for the Navier-Stokes equations2009
- Author(s)
  中井英一, 米田剛
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Predual of Campanato spaces and Riesz potentials2009
- Author(s)
  中井英一
- Organizer
  Potential Theory and related Fields
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-02-16
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Orlicz-Morrey spaces and their preduals2009
- Author(s)
  Eiichi Nakai
- Organizer
  The 3rd International Symposium on Banach and Function Spaces 2009
- Place of Presentation
  Kyushu Institute of Technology, Kitakyushu, Japan
- Year and Date
  2009-09-15
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Campanato spaces with variable growth conditions2009
- Author(s)
  中井英一
- Organizer
  Symposium on function spaces and their applications
- Place of Presentation
  Beijing Normal University(China)
- Year and Date
  2009-08-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Vorono\"\i-Hardy's identity, the Gibbs-Wilbraham phenomenon, the Pinsky phenomenon and the third phenomenon2009
- Author(s)
  大坪和弥, 倉坪茂彦, 中井英一, 速水彬裕
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Riesz transforms on generalized Hardy spaces with an application2009
- Author(s)
  中井英一, 米田剛
- Organizer
  International Conference on Harmonic Analysis and Approximation Theory
- Place of Presentation
  Beijing Normal University(China)
- Year and Date
  2009-11-21
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] A generalization of Hardy spaces on spaces of homogeneous type2008
- Author(s)
  中井英一
- Organizer
  バナッハ空間及び関数空間論の最近の進展とその応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-06-05
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] A generalization of Hardy spaces on spaces of homogeneous type2008
- Author(s)
  中井英一
- Organizer
  研究集会「バナッハ空間及び関数空間論の最近の進展とその応用」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-06-04
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] A generalization of Hardy spaces by using atoms and fractional integrals2008
- Author(s)
  中井英一
- Organizer
  Harmonic Analysis and its Applications at Tokyo 2008
- Place of Presentation
  首都大学東京
- Year and Date
  2008-10-11
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] A generalization of Hardy spaces by using atoms and fractional integrals2008
- Author(s)
  Eiichi Nakai
- Organizer
  Harmonic Analysis and its Applications
- Place of Presentation
  Tokyo Metropolitan Univ
- Year and Date
  2008-10-10
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] An elementary proof of Soboleb embeddings for Riesz potentials of functions in L^1 Morrey spaces2008
- Author(s)
  Yoshihiro Mizuta, Eiichi Nakai, Takao Ohno and Tetsu Shimomura
- Organizer
  The Eleventh Conference on Real and Complex Analysis (日韓共同実・複素解析セミナー)
- Place of Presentation
  Hiroshima Univ.
- Year and Date
  2008-09-18
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] A generalization of Hardy spaces by using atoms2008
- Author(s)
  中井英一
- Organizer
  International Workshop on Function Spaces and Applications
- Place of Presentation
  Freyburg/Unstrut(Germany)
- Year and Date
  2008-07-10
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized 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
  2008-09-24
- Data Source
  KAKENHI-PROJECT-19540198
[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] Singular integrals on generalized Hardy spaces2008
- Author(s)
  中井英一
- Organizer
  実解析学シンポジウム2008
- Place of Presentation
  山口大学
- Year and Date
  2008-11-08
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] A generalization of Hardy spaces by using atoms2008
- Author(s)
  Eiichi Nakai
- Organizer
  International Workshop on Function Spaces and Applications
- Place of Presentation
  Freyburg/Unstrut(Germany)
- Year and Date
  2008-07-06
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] A generalization of Hardy spaces and fractional integrals2008
- Author(s)
  Eiichi Nakai
- Organizer
  International Workshop on Interpolation Theory, Function Spaces and Related Topics
- Place of Presentation
  Toledo(Spain)
- Year and Date
  2008-09-07
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] Singular integrals on generalized Hardy spaces2008
- Author(s)
  中井英一
- Organizer
  実解析学シンポジウム
- Place of Presentation
  山口大学
- Year and Date
  2008-11-08
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] A generalization of Hardy spaces and fractional integrals2008
- Author(s)
  中井英一
- Organizer
  International Workshop on Interpolation Theory, Function Spacesand Related opics
- Place of Presentation
  Toledo (Spain)
- Year and Date
  2008-09-11
- Data Source
  KAKENHI-PROJECT-20540167
[Presentation] 一般化Morrey-Campanato空間の前相対空間2007
- Author(s)
  中井英一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] H^p and Lip_α2007
- Author(s)
  中井英一
- Organizer
  実解析学シンポジウム
- Place of Presentation
  大阪教育大学天王寺キャンパス
- Year and Date
  2007-10-20
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] 一般化Morrey-Campanato空間の前相対空間2007
- Author(s)
  中井英一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学川内北キャンパス
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] Construction of solutions for the functional-differential equation $f'(x)=a f(\lambda x)$, $\lambda>1$2007
- Author(s)
  Eiichi Nakai and Tsuyoshi Yoneda
- Organizer
  Harmonic Analysis and its Applications at Tokyo
- Place of Presentation
  Tokyo Woman's Christian Univ.
- Year and Date
  2007-03-24
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] Preduals of generalized Morrey-Campanato spaces2007
- Author(s)
  Eiichi Nakai
- Organizer
  Harmonic Analysis and its Applications at Sapporo
- Place of Presentation
  Hokkaido Univ
- Year and Date
  2007-09-02
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] f'(x)=4f(2x)の解の表示式の構造及びその数値計算について2007
- Author(s)
  米田剛, 中井英一
- Organizer
  日本数学会年会
- Place of Presentation
  埼玉大学理学部
- Year and Date
  2007-03-27
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] Preduals of Morrey-Campanato spaces2007
- Author(s)
  Eiichi Nakai
- Organizer
  研究集会「バナッハ空間、関数空間及び不等式の研究とその応用 (Banach spaces, function spaces, inequalities and their applications)」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-06-06
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] Singular integral operators on Orlicz-Morrey spaces2006
- Author(s)
  Eiichi Nakai
- Organizer
  The Second International Symposium on BANACH and FUNCTION SPACES
- Place of Presentation
  Kyushu Institute of Technology
- Year and Date
  2006-09-14
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] 特性関数の多変数フーリエ級数におけるピンスキー現象について2006
- Author(s)
  大坪和弥, 倉坪茂彦, 中井英一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪市立大学杉本キャンパス
- Year and Date
  2006-09-19
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] 特性関数における多変数フーリエ級数の各点収束について2006
- Author(s)
  大坪和弥, 倉坪茂彦, 中井英一
- Organizer
  実解析学シンポジウム
- Place of Presentation
  弘前大学理工学部
- Year and Date
  2006-10-28
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] On Orlicz-Morrey spaces2006
- Author(s)
  中井英一
- Organizer
  研究集会「バナッハ空間及び関数空間の構造の研究」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-06-07
- Data Source
  KAKENHI-PROJECT-19540198
[Presentation] Function spaces with variable exponent
- Author(s)
  中井英一
- Organizer
  研究集会「関数解析学の研究とその応用」
- Place of Presentation
  新潟大学駅南キャンパス「ときめいと」
- Year and Date
  2015-01-29 – 2015-01-30
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Generalized fractional integrals on martingale Morrey-Campanato spaces
- Author(s)
  中井　英一・貞末　岳・澤野　嘉宏（講演者：貞末　岳）
- Organizer
  実解析学シンポジウム 2012
- Place of Presentation
  茨城大学理学部
- Data Source
  KAKENHI-PROJECT-24540171
[Presentation] Maximal functions on generalized martigale Lebesgue spaces with variable exponent
- Author(s)
  中井　英一・貞末　岳
- Organizer
  日本数学会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-24540171
[Presentation] A note on BLO martingales
- Author(s)
  中井英一, 貞末岳
- Organizer
  実解析学シンポジウム2013
- Place of Presentation
  岡山大学教育学部
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] $B_w^u$ 空間の補間定理
- Author(s)
  中井英一, 曽布川拓也
- Organizer
  関数環研究集会
- Place of Presentation
  早稲田大学教育学部
- Year and Date
  2014-09-18 – 2014-09-19
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Pointwise multipliers on martingale Campanato spaces
- Author(s)
  貞末岳, 中井英一
- Organizer
  日本数学会秋季総合分科会　実関数論分科会
- Place of Presentation
  愛媛大学城北キャンパス
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] Maximal function on generalized martingale Lebesgue spaces with variable exponent
- Author(s)
  貞末岳, 中井英一
- Organizer
  日本数学会秋季総合分科会　実関数論分科会
- Place of Presentation
  愛媛大学城北キャンパス
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] $B_w^u(E)$-関数空間の補間定理とその応用
- Author(s)
  中井英一, 曽布川拓也
- Organizer
  実解析学シンポジウム2014
- Place of Presentation
  富山大学理学部
- Year and Date
  2014-10-31 – 2014-11-02
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] Generalized Morrey-Campanato spaces of martingales
- Author(s)
  中井　英一・貞末　岳・澤野　嘉宏（講演者：貞末　岳）
- Organizer
  日本数学会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540171
[Presentation] Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent
- Author(s)
  出来光夫, 中井英一, 澤野嘉宏
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  広島大学東広島キャンパス
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] A characterization of BLO martingales
- Author(s)
  中井　英一・貞末　岳
- Organizer
  日本数学会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-24540171
[Presentation] Generalized fractional integrals on Morrey spaces with variable exponent
- Author(s)
  中井英一
- Organizer
  Asian Mathematical Conference 2013
- Place of Presentation
  Busan Exhibition and Convention Center (BEXCO), 釜山、韓国
- Data Source
  KAKENHI-PROJECT-23340034
[Presentation] A note on BLO martingales
- Author(s)
  中井　英一・貞末　岳
- Organizer
  実解析学シンポジウム2013
- Place of Presentation
  岡山大学
- Data Source
  KAKENHI-PROJECT-24540171
[Presentation] 局所 Morrey-Camapanto 空間の一般化と補間理論
- Author(s)
  中井英一, 曽布川拓也
- Organizer
  日本数学会年会
- Place of Presentation
  明治大学駿河台キャンパス（リバティタワー）
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-24540159
[Presentation] The Gibbs-Wilbraham, Pinsky and the third phenomena for the multiple Fourier series
- Author(s)
  倉坪茂彦、中井英一
- Organizer
  1st East Asian Conference in Harmonic analysis and Applications
- Place of Presentation
  ソウル国立大学、韓国
- Data Source
  KAKENHI-PROJECT-23340034

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75. 下村哲

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NAKAI Eiichi 中井 英一

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多変数フーリエ級数の収束問題とガウスの円問題Principal Investigator

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実解析・調和解析に由来する関数空間の理論の深化と応用Principal Investigator

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Harmonic analysis based on function spaces with variable exponent and its applicationsPrincipal Investigator

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NAKAI Eiichi 中井英一