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Ohno Takao  大野 貴雄

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OHONO Takao  大野 貴雄

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Researcher Number 40508511
Other IDs
Affiliation (Current) 2025: 大分大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help 2024: 大分大学, 教育学部, 教授
2022: 大分大学, 教育学部, 教授
2016 – 2021: 大分大学, 教育学部, 准教授
2012 – 2015: 大分大学, 教育福祉科学部, 准教授
2013: 大分大学
2011 – 2012: 大分大学, 教育福祉科学部, 講師
2010 – 2011: 大分大学, 教育福祉学部, 講師
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / Basic analysis
Except Principal Investigator
Basic analysis
Keywords
Principal Investigator
Musielak-Orlicz空間 / Rieszポテンシャル / 距離空間 / Morrey-Musielak-Orlicz空間 / Sobolev型の不等式 / Sobolevの不等式 / 非有界な距離空間 / Herz型Morrey空間 / Herz空間 / 極大作用素 … More / 楕円型偏微分方程 / Dirichlet integral / Musielak-Orlicz空間 / 最小値問題 / 楕円型偏微分方程式 / Newtonian空間 / ポテンシャル論 / Hajlasz空間 / 変動指数をもつ関数空間 … More
Except Principal Investigator
変動指数 / ソボレフの定理 / 偏微分方程式 / 関数空間 / 複素解析 / ポテンシャル / 変動指数をもつ関数空間 / ソボレフの不等式 / ポテンシャル論 / Sovolev theorem / variable exponent / function space / 調和関数 / Morrey 空間 / 極大関数 / ポテンシャル解析 / Allen-Cahn方程式 / Orlicz空間 / 放物型ハルナック不等式 / Markov chain / 極小尖細 / 正則写像 / Martin境界 / Rieszポテンシャル / 半線形楕円型方程式 / Random walk / Klien群 / 放物型偏微分方程式 / 一様領域 / 非線形不等式 / conformal dimension / Sierpinski carpet / フェイズフィールド法 / Harnack原理 / Dirichlet問題 / 平均曲率流 / 確率過程 / ヘルダー連続性 / Cauchy積分 / 楕円型作用素の摂動 / 境界Harnack原理 / Harnack不等式 / グラフ / フラクタル / Riemann面 / 放物型方程式 / 楕円型方程式 / 調和 / 実解析 Less
  • Research Projects

    (7 results)
  • Research Products

    (64 results)
  • Co-Researchers

    (16 People)
  •  Sobolev-type inequalities over unbounded metric measure spacesPrincipal Investigator

    • Principal Investigator
      大野 貴雄
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Oita University
  •  Sobolev's inequality on metric measure spacesPrincipal Investigator

    • Principal Investigator
      Ohno Takao
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Oita University
  •  Obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spacesPrincipal Investigator

    • Principal Investigator
      Ohno Takao
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Oita University
  •  A new trend of function spaces with variable exponents

    • Principal Investigator
      Mizuta Yoshihiro
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
      Hiroshima Institute of Technology
  •  Functional spaces of two variable exponents on metric measure spacesPrincipal Investigator

    • Principal Investigator
      OHNO Takao
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Oita University
  •  Potential analysis of various function spaces and application

    • Principal Investigator
      MIZUTA Yoshihiro
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima Institute of Technology
      Hiroshima University
  •  Research on potential problems from various aspects

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

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2008 Other

All Journal Article Presentation

  • [Journal Article] On Sobolev-type Inequalities on Morrey Spaces of an Integral Form2022

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

      Taiwanese Journal of Mathematics

      Volume: 26 Issue: 4 Pages: 831-845

    • DOI

      10.11650/tjm/220203

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03295, KAKENHI-PROJECT-19K03586
  • [Journal Article] Generalized fractional integral operators on variable exponent Morrey type spaces over metric measure spaces2022

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

      Portugaliae Mathematica

      Volume: 79 Issue: 3 Pages: 265-282

    • DOI

      10.4171/pm/2092

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03295, KAKENHI-PROJECT-19K03586
  • [Journal Article] Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form2022

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

      Czechoslovak Mathematical Journal

      Volume: 73 Issue: 1 Pages: 263-276

    • DOI

      10.21136/cmj.2022.0149-22

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03586, KAKENHI-PROJECT-21K03295
  • [Journal Article] Generalized fractional integral operators on variable exponent Morrey spaces of an integral form2022

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

      Acta Mathematica Hungarica

      Volume: 167 Issue: 1 Pages: 201-214

    • DOI

      10.1007/s10474-022-01245-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03295, KAKENHI-PROJECT-19K03586
  • [Journal Article] Sobolev-Type Inequalities on Musielak-Orlicz-Morrey Spaces of an Integral Form2022

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

      Bulletin of the Malaysian Mathematical Sciences Society

      Volume: 46 Issue: 1

    • DOI

      10.1007/s40840-022-01424-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03586, KAKENHI-PROJECT-21K03295
  • [Journal Article] Sobolev's inequality for Musielak-Orlicz-Morrey spaces over metric measure spaces2021

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

      J. Aust. Math. Soc.

      Volume: 110 Pages: 371-385

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03586
  • [Journal Article] Boundedness of maximal operator, Hardy operator and Sobolev's inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces2021

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

      Hiroshima Math. J.

      Volume: 51 Issue: 1 Pages: 13-55

    • DOI

      10.32917/h2019141

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03586, KAKENHI-PROJECT-21K03295
  • [Journal Article] Herz-Morrey spaces on the unit ball with variable exponent approaching 1 and double phase functionals2021

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

      Nagoya Math. J.

      Volume: 242 Pages: 1-34

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03586
  • [Journal Article] Weak estimates for the maximal and Riesz potential operators in central Herz-Morrey spaces on the unit ball2021

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

      Z. Anal. Anwend.

      Volume: 40 Pages: 183-207

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03586
  • [Journal Article] Boundedness of the maximal and potential operators in Herz-Morrey type spaces2020

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

      Complex Variables and Elliptic Equations

      Volume: 65 Issue: 9 Pages: 1575-1589

    • DOI

      10.1080/17476933.2019.1669571

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

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

      Math. Ineq. Appl.

      Volume: 23 Issue: 1 Pages: 17-33

    • DOI

      10.7153/mia-2020-23-02

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03563, KAKENHI-PROJECT-19K03586, KAKENHI-PROJECT-18K03332
  • [Journal Article] Sobolev’s Inequality for Riesz Potentials of Functions in Musielak-Orlicz-Morrey Spaces Over Non-doubling Metric Measure Spaces2020

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

      Canadian Mathematical Bulletin

      Volume: 63 Issue: 2 Pages: 287-303

    • DOI

      10.4153/s0008439519000286

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03586, KAKENHI-PROJECT-18K03332
  • [Journal Article] Obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces2019

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

      Tohoku Math. J.

      Volume: 71 Pages: 53-68

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618
  • [Journal Article] Boundedness of generalized gractional integral operators on Orlicz spaces near L^1 over metric measure spaces2019

    • Author(s)
      Daiki Hashimoto, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Czechoslovak Math. J.

      Volume: 69 Issue: 1 Pages: 207-223

    • DOI

      10.21136/cmj.2018.0258-17

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618, KAKENHI-PROJECT-18K03332
  • [Journal Article] Sobolev's inequality for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces2018

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

      Math. Nachr.

      Volume: 291 Issue: 10 Pages: 1547-1562

    • DOI

      10.1002/mana.201700019

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03332, KAKENHI-PROJECT-16K17618
  • [Journal Article] Sobolev inequalities for Musielak-Orlicz spaces2018

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

      Manuscripta Math.

      Volume: 155 Issue: 1-2 Pages: 209-227

    • DOI

      10.1007/s00229-017-0944-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618, KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-18K03332
  • [Journal Article] Maximal and Riesz potential operators on Musielak-Orlicz spaces over metric measure spaces2018

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

      Integr. Equ. Oper. Theory

      Volume: 90 Issue: 6 Pages: 62-62

    • DOI

      10.1007/s00020-018-2484-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03332, KAKENHI-PROJECT-16K17618
  • [Journal Article] Boundedness of the maximal operator on Musielak-Orlicz-Morrey spaces2017

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

      Tohoku Math. J.

      Volume: 69

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618
  • [Journal Article] Growth properties for Riesz potentials of functions in weighted variable L^p(・) spaces2017

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

      Nonlinear Analysis

      Volume: 162 Pages: 49-75

    • DOI

      10.1016/j.na.2017.06.010

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04929, KAKENHI-PROJECT-26400154
  • [Journal Article] Trudinger's inequality and continuity for Riesz potential of functions in Orlicz spaces of two variable exponents over non-doubling measure spaces2017

    • Author(s)
      Sachihiro Kanemori, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Kyoto J. Math.

      Volume: 57 Issue: 1 Pages: 79-96

    • DOI

      10.1215/21562261-3759522

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618, KAKENHI-PROJECT-15K04929
  • [Journal Article] Boundary limits of monotone Sobolev functions in Musielak-Orlicz spaces on uniform domains in a metric space2017

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

      Kyoto J. Math.

      Volume: 57 Issue: 1 Pages: 147-164

    • DOI

      10.1215/21562261-3759549

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618, KAKENHI-PROJECT-15K04929
  • [Journal Article] Growth properties near the origin for generalized Riesz potentials2017

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

      J. Math. Anal. Appl.

      Volume: 54 Issue: 1 Pages: 285-302

    • DOI

      10.1016/j.jmaa.2017.04.068

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618, KAKENHI-PROJECT-15K04929, KAKENHI-PROJECT-26400154
  • [Journal Article] Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over non-doubling metric measure spaces2016

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

      Kyoto J. Math.

      Volume: 56 Pages: 633-653

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K17618
  • [Journal Article] Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces2016

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

      Czechoslovak Math. J.

      Volume: 66 Issue: 2 Pages: 371-394

    • DOI

      10.1007/s10587-016-0262-1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04929, KAKENHI-PROJECT-16K17618
  • [Journal Article] Boundedness of the maximal operator and Sobolev's inequality on non-homogeneous central Herz-Morrey-Orlicz spaces2015

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

      Nonlinear Anal.

      Volume: 128 Pages: 325-347

    • DOI

      10.1016/j.na.2015.08.014

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400154
  • [Journal Article] Trudinger's inequality for Riesz potentialsof functions in Musielak-Orlicz spaces2014

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

      Bull. Sci. Math

      Volume: 138 Issue: 2 Pages: 225-235

    • DOI

      10.1016/j.bulsci.2013.05.007

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540174
  • [Journal Article] SOBOLEV’S THEOREM AND DUALITY FOR HERZ-MORREY SPACES OF VARIABLE EXPONENT2014

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

      Ann. Acad. Sci. Fenn. Math.

      Volume: 39 Pages: 389-416

    • DOI

      10.5186/aasfm.2014.3913

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400154
  • [Journal Article] Sobolev's theorem and duality for Herz-Morrey spaces of variable exponent2014

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

      Ann. Acad. Sci. Fenn. Math.

      Volume: 39 Pages: 389-416

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Approximate identities and Young type inequalities in Musielak-Orlicz spaces2013

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

      Czech. Math. J

      Volume: 63, no.4 Pages: 933-948

    • Data Source
      KAKENHI-PROJECT-23740108
  • [Journal Article] Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces2013

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

      Bull. Sci. math.

      Volume: 37 Pages: 76-96

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Mean continuity for potentials of functions in Musielak-Orlicz spaces2013

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

      RIMSKokyuroku Bessatsu

      Volume: B43 Pages: 67-86

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

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

      Potential Anal.

      Volume: 38 Pages: 515-535

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

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

      RIMS Kokyuroku Bessatsu

      Volume: B43 Pages: 101-120

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

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

      Bull. Sci. Math

      Volume: 137 Issue: 1 Pages: 76-96

    • DOI

      10.1016/j.bulsci.2012.03.008

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540174
  • [Journal Article] Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces2013

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

      Potential Anal

      Volume: 38 Issue: 2 Pages: 515-535

    • DOI

      10.1007/s11118-012-9284-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740108, KAKENHI-PROJECT-24540174
  • [Journal Article] Orlicz capacity of balls, Centre de Recherches Mathematiques2012

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

      CRM Proceedings and Lecture Notes

      Volume: 55 Pages: 225-233

    • Data Source
      KAKENHI-PROJECT-23740108
  • [Journal Article] Orlicz capacity of balls2012

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

      Centre de Recherches Mathematiques, CRM Proceedings and Lecture Notes

      Volume: 55

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740108
  • [Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in R^n2012

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Rev. Mat. Complut.

      Volume: 25 Issue: 2 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] Maximal functions, Riesz potentials and Sobolev embeddings on Morrey-Musielak-Orlicz spaces of variable exponent in R^n2012

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

      Rev. Mat. Complut.

      Volume: 25 Pages: 413-434

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Capacity for potentials of functions in Musielak-Orlicz spaces2011

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

      Nonlinear Anal.

      Volume: 74 Issue: 17 Pages: 6231-6243

    • DOI

      10.1016/j.na.2011.06.003

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

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

      Banach and function spaces, Yokohama Publ.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740108
  • [Journal Article] Hardy's inequality in variable exponent Orlicz spaces2011

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

      Hokkaido Math J.

      Volume: 40 Pages: 187-203

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

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

      Illinois Math. J.

      Volume: 55 Pages: 543-553

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent2011

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

      Complex Var.Elliptic Equ.

      Volume: 56 Issue: 7-9 Pages: 671-695

    • 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] Hardy's inequality in variable exponent Orlicz spaces2011

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

      Hokkaido Math. J.

      Volume: 40

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740108
  • [Journal Article] Weighted Orlicz-Riesz capacity of balls2010

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

      Proc. Amer. Math. Soc.

      Volume: 138 Pages: 4291-4302

    • NAID

      120002753735

    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Weighted Orlicz-Riesz capacity of balls2010

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

      Proc.Amer.Math.Soc.

      Volume: 138 Pages: 4291-4302

    • NAID

      120002753735

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Approximate identities in variable Lebesgue-Orlicz spaces L^<p・>(log L)^<q(・)>2010

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

      Ann.Acad.Sci.Fenn.Math.

      Volume: 35 Pages: 405-420

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

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

      Math.Soc.Japan

      Volume: 62 Pages: 707-744

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev's exponent2010

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

      Bull.Sci.Math.

      Volume: 134 Pages: 12-36

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Weighted Orlicz-Riesz capacity of balls2010

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

      Proc.Amer.Math.Soc.

      Volume: 138 Pages: 4291-4302

    • NAID

      120002753735

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540192
  • [Journal Article] Weighted Orlicz-Riesz capacity of balls2010

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

      Proc. Amer. Math. Soc. 138

      Pages: 4291-4302

    • NAID

      120002753735

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Approximate identities and Young type inequalities in variable Lebesgue-Orlicz spaces $L^{p(\cdot)}(\log L)^{q(\cdot)}$2010

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

      Ann.Acad.Sci.Fenn.Math.

      Volume: 35 Pages: 405-420

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Weighted Orlicz-Riesz capacity of balls,Proc2010

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

      Amer. Math. Soc

      Volume: 138 Issue: 12 Pages: 4291-4302

    • DOI

      10.1090/s0002-9939-2010-10510-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-20540196, KAKENHI-PROJECT-21540183
  • [Journal Article] Integrability of maximal functions for generalized Lebesgue spaces with variable exponent2008

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

      Math. Nachr. 281

      Pages: 386-395

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Hardy's inequality in Musielak-Orlicz-Sobolev spaces

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

      Hiroshima Math. J

      Volume: (掲載予定)

    • Data Source
      KAKENHI-PROJECT-23740108
  • [Presentation] Boundedness of the maximal operator for double phase functionals with variable exponents2019

    • Author(s)
      大野貴雄
    • Organizer
      第62回函数論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03586
  • [Presentation] Approximate identities and Young type inequalities in Musielak-Orlicz spaces2012

    • Author(s)
      大野 貴雄
    • Organizer
      日本数学会
    • Place of Presentation
      九州大学伊都キャンパス
    • Year and Date
      2012-09-18
    • Data Source
      KAKENHI-PROJECT-23740108
  • [Presentation] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in R^N2011

    • Author(s)
      大野 貴雄
    • Organizer
      日本数学会
    • Place of Presentation
      信州大学松本キャンパス
    • Year and Date
      2011-09-30
    • Data Source
      KAKENHI-PROJECT-23740108
  • [Presentation] Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces2011

    • Author(s)
      大野 貴雄
    • Organizer
      日本数学会
    • Place of Presentation
      信州大学松本キャンパス
    • Year and Date
      2011-09-30
    • Data Source
      KAKENHI-PROJECT-23740108
  • [Presentation] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \R^N2011

    • Author(s)
      大野貴雄
    • Organizer
      日本数学会
    • Place of Presentation
      信州大学松本キャンパス
    • Data Source
      KAKENHI-PROJECT-23740108
  • [Presentation] Capacity for potentials of functions in Musielak-Orlicz space2010

    • Author(s)
      大野貴雄
    • Organizer
      ポテンシャル論研究集会
    • Place of Presentation
      大分大学
    • Year and Date
      2010-11-05
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent2010

    • Author(s)
      大野貴雄
    • Organizer
      The 13th Conference on Real and Complex Analysis
    • Place of Presentation
      広島大学 招待講演
    • Year and Date
      2010-12-21
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Hardy's inequality in Orlicz-Sobolev spaces of varable exponent2010

    • Author(s)
      大野貴雄
    • Organizer
      日本数学会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-20244007
  • 1.  KUMAGAI Takashi (90234509)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  SUGAWA Toshiyuki (30235858)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  MURATA Minoru (50087079)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  KATAGATA Koh (10529598)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  MIZUTA Yoshihiro (00093815)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 15 results
  • 6.  AIKAWA Hiroaki (20137889)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  SHIGA Hiroshige (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  KIGAMI Jun (90202035)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  TONEGAWA Yoshihiro (80296748)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  HIRATA Kentaro (30399795)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  UENO Kohei (10527881)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  SUZUKI Noriaki (50154563)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  SHIMOMURA Tetsu (50294476)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 15 results
  • 14.  TADOKORO Yuki (10435414)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  山内 雄介 (00451435)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  小山 哲也 (50170402)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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