• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Tomita Naohito  冨田 直人

ORCIDConnect your ORCID iD *help
… Alternative Names

TOMITA Naohito  冨田 直人

Less
Researcher Number 10437337
Other IDs
Affiliation (Current) 2025: 大阪大学, 大学院理学研究科, 教授
Affiliation (based on the past Project Information) *help 2021 – 2025: 大阪大学, 大学院理学研究科, 教授
2020 – 2021: 大阪大学, 理学研究科, 教授
2016 – 2019: 大阪大学, 理学研究科, 准教授
2017: 大阪大学, 大学院理学研究科, 准教授
2012 – 2015: 大阪大学, 理学(系)研究科(研究院), 准教授 … More
2014: 大阪大学, 理学研究科, 准教授
2014: 大阪大学, 大学院理学研究科, 准教授
2012: 大阪大学, 大学院・理学研究院, 准教授
2011: 大阪大学, 大学院・理学研究科, 准教授
2011: 大阪大学, 理学研究科, 准教授
2010: 大阪大学, 理学研究科, 講師
2009 – 2010: Osaka University, 大学院・理学研究科, 講師
2008: 阪大, 理学(系)研究科(研究院) Less
Review Section/Research Field
Principal Investigator
Basic analysis / Basic Section 12020:Mathematical analysis-related
Except Principal Investigator
Basic analysis / Basic Section 12020:Mathematical analysis-related
Keywords
Principal Investigator
多重線形作用素 / 擬微分作用素 / フーリエ乗法作用素 / フーリエマルチプライヤー / 振動積分 / フーリエ積分作用素 / 振動積分作用素 / flag paraproduct / ベソフ空間 / モジュレーション空間 … More / フーリエマルチプライー / L^p-有界性 / ハーディー空間 / 多重線形 / 調和解析 … More
Except Principal Investigator
分散型方程式 / 擬微分作用素 / 関数空間 / 調和解析 / モジュレーション空間 / シュレディンガー方程式 / 実関数論 / 相空間解析 / 非線形問題 / 時空間評価式 / 正準変換 / 平滑化作用 / フーリエ乗子 / 最大関数 / 関数解析 / ハーディ空間 / 特異積分 / 実解析 / 関数方程式 / 分数階積分作用素 / 関数解析学 / 解析学 / 特異積分作用素 / 偏微分方程式 / フーリエ積分作用素 / BMO / 多重線形作用素 / パラプロダクト / 双線形作用素 / 最大作用素 / シュレデインガー方程式 / 平滑化効果 / 波動方程式 / 時空間評価 / 比較原理 / レゾナンス / 双曲型不動点 / 正跡 / 複素相関数 / 陪特性帯 / 非実効果的双曲型 / 零陪特性帯 / Gevrey空間 / 適切性 / ハミルトン流 / 強双曲型作用素 / 複素数値相関数 / Gevrey適切性 / 零特性帯 / 初期値問題 / lifespan / Fourier積分作用素 / ハミルトン写像 / 非線形波動 / 超局所解析 / 直交関数 / 重み付き評価 / 交換子作用素 / 変動指数ルベーグ空間 / ウェーブレット / ハンケル変換 / ペーリーの不等式 / ラドン変換 / モデユレーション空間 / シャッテン族 / 時間周波数解析 / フレーム / 重み付き関数空間 / ハウスドルフ作用素 / シャッテンクラス / モデュレーション空間 / ハーディー空間 / 直交級数 Less
  • Research Projects

    (14 results)
  • Research Products

    (146 results)
  • Co-Researchers

    (33 People)
  •  多重線形調和解析における振動積分の研究Principal Investigator

    • Principal Investigator
      冨田 直人
    • Project Period (FY)
      2025 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      The University of Osaka
  •  Real variable methods in harmonic analysis and their applications

    • Principal Investigator
      Miyachi Akihiko
    • Project Period (FY)
      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
  •  Multilinear harmonic analysis and boundedness properties of operatorsPrincipal Investigator

    • Principal Investigator
      Tomita Naohito
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Osaka University
  •  Harmonic Analysis by the methods of real analysis

    • Principal Investigator
      Miyachi Akihiko
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Multilinear harmonic analysis and the singularityPrincipal Investigator

    • Principal Investigator
      Tomita Naohito
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Phase space analysis by modulation spaces

    • Principal Investigator
      SUGIMOTO Mitsuru
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Sharp conditions on the boundedness of multilinear operatorsPrincipal Investigator

    • Principal Investigator
      TOMITA Naohito
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka 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
  •  Construction of quantitative methodology in phase space analysis

    • Principal Investigator
      SUGIMOTO Mitsuru
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Pseudodifferential operators and time-frequency analysisPrincipal Investigator

    • Principal Investigator
      TOMITA Naohito
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Analysis of properties of solutions to dispersive equations via canonical transforms and comparison principle

    • Principal Investigator
      SUGIMOTO Mitsuru
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  モジュレーション空間のフーリエマルチプライヤーおよびフーリエ積分作用素への応用Principal Investigator

    • Principal Investigator
      冨田 直人
    • Project Period (FY)
      2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Phase Space Analysis of Partial Differential Equations

    • Principal Investigator
      NISHITANI Tatsuo
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka 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

All 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 Other

All Journal Article Presentation

  • [Journal Article] On some bilinear Fourier multipliers with oscillating factors, II2025

    • Author(s)
      Kato Tomoya、Miyachi Akihiko、Shida Naoto、Tomita Naohito
    • Journal Title

      Studia Mathematica

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K20223
  • [Journal Article] Sharp maximal function estimates for multilinear pseudo-differential operators of type (0,0)2025

    • Author(s)
      Park Bae Jun, Tomita Naohito
    • Journal Title

      Bulletin of the London Mathematical Society

      Volume: 57 Issue: 3 Pages: 854-870

    • DOI

      10.1112/blms.70003

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03700
  • [Journal Article] Sharp maximal function estimates for multilinear pseudo-differential operators of type (0,0)2025

    • Author(s)
      Park Bae Jun、Tomita Naohito
    • Journal Title

      Bulletin of the London Mathematical Society

      Volume: 57

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20223
  • [Journal Article] Estimates for some bilinear wave operators2024

    • Author(s)
      Kato Tomoya、Miyachi Akihiko、Tomita Naohito
    • Journal Title

      Revista Matematica Iberoamericana

      Volume: 40 Issue: 4 Pages: 1571-1608

    • DOI

      10.4171/rmi/1466

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23K20223, KAKENHI-PROJECT-20K03700, KAKENHI-PROJECT-23K12995
  • [Journal Article] Estimates for a certain bilinear Fourier integral operator2024

    • Author(s)
      Kato Tomoya、Miyachi Akihiko、Tomita Naohito
    • Journal Title

      Journal of Pseudo-Differential Operators and Applications

      Volume: 15 Issue: 3 Pages: 59-59

    • DOI

      10.1007/s11868-024-00631-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K20223, KAKENHI-PROJECT-20K03700, KAKENHI-PROJECT-23K12995
  • [Journal Article] Sharp maximal function estimates for linear and multilinear pseudo-differential operators2024

    • Author(s)
      Park Bae Jun、Tomita Naohito
    • Journal Title

      Journal of Functional Analysis

      Volume: 287 Issue: 12 Pages: 110661-110661

    • DOI

      10.1016/j.jfa.2024.110661

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20223, KAKENHI-PROJECT-20K03700
  • [Journal Article] Boundedness of bilinear pseudo-differential operators of S_{0,0}-type in Wiener amalgam spaces and in Lebesgue spaces2022

    • Author(s)
      T. Kato, A. Miyachi, N. Tomita
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 515 Issue: 1 Pages: 126382-126382

    • DOI

      10.1016/j.jmaa.2022.126382

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03700, KAKENHI-PROJECT-20K14339, KAKENHI-PROJECT-23K20223
  • [Journal Article] Boundedness of multilinear pseudo-differential operators with symbols in the Hormander class S_{0,0}2022

    • Author(s)
      T. Kato, A. Miyachi, N. Tomita
    • Journal Title

      Journal of Functional Analysis

      Volume: 282 Issue: 4 Pages: 109329-109329

    • DOI

      10.1016/j.jfa.2021.109329

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03700, KAKENHI-PROJECT-20K14339, KAKENHI-PROJECT-23K20223
  • [Journal Article] Boundedness of multilinear pseudo-differential operators of $S_{0,0}$-type in $L^2$-based amalgam spaces2021

    • Author(s)
      Kato Tomoya, Miyachi Akihiko, Tomita Naohito
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 73(2) Issue: 2 Pages: 351-388

    • DOI

      10.2969/jmsj/83468346

    • NAID

      130008029579

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14339, KAKENHI-PROJECT-20K03700, KAKENHI-PROJECT-23K20223
  • [Journal Article] On the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$2021

    • Author(s)
      N. Hamada, N. Shida, N. Tomita
    • Journal Title

      Journal of Functional Analysis

      Volume: 280 Issue: 3 Pages: 108826-108826

    • DOI

      10.1016/j.jfa.2020.108826

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03700
  • [Journal Article] Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$2021

    • Author(s)
      T. Kato, A. Miyachi, N. Tomita,
    • Journal Title

      Journal of Pseudo-Differential Operators and Applications

      Volume: 12 Issue: 1

    • DOI

      10.1007/s11868-021-00391-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03700, KAKENHI-PROJECT-20K14339, KAKENHI-PROJECT-23K20223
  • [Journal Article] Limited smoothness conditions with mixed norms for bilinear Fourier multipliers2020

    • Author(s)
      Miyachi Akihiko、Shida Naoto、Tomita Naohito
    • Journal Title

      Collectanea Mathematica

      Volume: 72 Issue: 2 Pages: 307-332

    • DOI

      10.1007/s13348-020-00289-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K20223
  • [Journal Article] Nonlinear operations on a class of modulation spaces2020

    • Author(s)
      Kato Tomoya、Sugimoto Mitsuru、Tomita Naohito
    • Journal Title

      Journal of Functional Analysis

      Volume: 278 Issue: 9 Pages: 108447-108447

    • DOI

      10.1016/j.jfa.2019.108447

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-16K05201, KAKENHI-PROJECT-26287022, KAKENHI-PROJECT-16H03940, KAKENHI-PROJECT-19H01796
  • [Journal Article] Bilinear pseudo-differential operators with exotic symbols, II2019

    • Author(s)
      Miyachi Akihiko、Tomita Naohito
    • Journal Title

      Journal of Pseudo-Differential Operators and Applications

      Volume: 10 Issue: 2 Pages: 397-413

    • DOI

      10.1007/s11868-018-0251-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] Pseudodifferential operators with symbols in the Hormander class S^0_{\alpha,\alpha} on \alpha-modulation spaces2019

    • Author(s)
      T. Kato, N. Tomita
    • Journal Title

      Monatshefte fur Mathematik

      Volume: 188 Issue: 4 Pages: 667-687

    • DOI

      10.1007/s00605-019-01264-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05201, KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-17J00359
  • [Journal Article] A remark on the Schrodinger propagator on Wiener amalgam spaces2018

    • Author(s)
      T. Kato, N. Tomita
    • Journal Title

      Mathematische Nachrichten

      Volume: 印刷中 Issue: 2 Pages: 350-357

    • DOI

      10.1002/mana.201700445

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05201, KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-17J00359
  • [Journal Article] Weighted norm inequalities for multilinear Fourier multipliers with critical Besov regularity2018

    • Author(s)
      M. Fujita, N. Tomita
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 146 Issue: 2 Pages: 555-569

    • DOI

      10.1090/proc/13680

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05201, KAKENHI-PROJECT-16H03943
  • [Journal Article] Multilinear Fourier multipliers with minimal Sobolev regularity, II2017

    • Author(s)
      L. Grafakos, A. Miyachi, H.V. Nguyen, N. Tomita,
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 69 Issue: 2 Pages: 529-562

    • DOI

      10.2969/jmsj/06920529

    • NAID

      130006887132

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201, KAKENHI-PROJECT-16H03943
  • [Journal Article] Bilinear pseudo-differential operators with symbols in BS^m_{1,1} on Triebel-Lizorkin spaces2017

    • Author(s)
      K. Koezuka and N. Tomita
    • Journal Title

      Journal of Fourier Analysis and Applications

      Volume: 未定 Issue: 1 Pages: 309-319

    • DOI

      10.1007/s00041-016-9518-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-16K05201
  • [Journal Article] Multilinear Fourier multipliers with minimal Sobolev regularity, II2017

    • Author(s)
      L. Grafakos, A. Miyachi, H.-V. Nguyen, and N. Tomita
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 69

    • NAID

      130006887132

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] Estimates for trilinear flag paraproducts on L^{infty} and Hardy spaces2015

    • Author(s)
      Akihiko Miyachi and Naohito Tomita
    • Journal Title

      Mathematische Zeitschrift

      Volume: 282 Issue: 1-2 Pages: 577-613

    • DOI

      10.1007/s00209-015-1554-0

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03621, KAKENHI-PROJECT-24740088, KAKENHI-PROJECT-16H03943
  • [Journal Article] A counterexample to weighted estimates for multilinear Fourier multipliers with Sobolev regularity2014

    • Author(s)
      M. Fujita and N. Tomita
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 409 Issue: 2 Pages: 630-636

    • DOI

      10.1016/j.jmaa.2013.07.041

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24740088
  • [Journal Article] Boundedness criterion for bilinear Fourier multiplier operators2014

    • Author(s)
      A. Miyachi and N. Tomita
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 66 Issue: 1 Pages: 55-76

    • DOI

      10.2748/tmj/1396875662

    • NAID

      130007953667

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24740088
  • [Journal Article] On multilinear Fourier multipliers of limited smoothness2013

    • Author(s)
      L. Grafakos, A. Miyachi, N. Tomita
    • Journal Title

      Canadian Journal of Mathematics

      Volume: 65 Issue: 2 Pages: 299-330

    • DOI

      10.4153/cjm-2012-025-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24740088
  • [Journal Article] Minimal smoothness conditions for bilinear Fourier multipliers2013

    • Author(s)
      A. Miyachi and N. Tomita
    • Journal Title

      Revista Matematica Iberoamericana

      Volume: 29 Issue: 2 Pages: 495-530

    • DOI

      10.4171/rmi/728

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24740088
  • [Journal Article] Calderon-Vaillancourt type theorem for bilinear operators2013

    • Author(s)
      A. Miyachi and N. Tomita
    • Journal Title

      Indiana University Mathematics Journal

      Volume: 62 Issue: 4 Pages: 1165-1201

    • DOI

      10.1512/iumj.2013.62.5059

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24740088
  • [Journal Article] A remark on multilinear Fourier multipliers satisfying Besov estimates2012

    • Author(s)
      N. Tomita
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 33

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] A remark on multilinear Fourier multipliers satisfying Besov estimates2012

    • Author(s)
      N. Tomita
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 33 Pages: 111-121

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Journal Article] Weighted norm inequalities for multilinear Fourier multipliers2012

    • Author(s)
      M. Fujita and N. Tomita
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 364 Issue: 12 Pages: 6335-6353

    • DOI

      10.1090/s0002-9947-2012-05700-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24740088
  • [Journal Article] Changes of variables in modulation and Wiener amalgam spaces2011

    • Author(s)
      M. Ruzhansky, M. Sugimoto, J. Toft, and N. Tomita
    • Journal Title

      Math. Nachr.

      Volume: 284 Pages: 2078-2092

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654049
  • [Journal Article] Changes of variables in modulatLon and Wiener amalgam spaces2011

    • Author(s)
      M.Ruzhansky, M.Sugimoto, J.Toft, N.Tomita
    • Journal Title

      Math.Nachr.

      Volume: 284 Pages: 2078-2092

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] On the L^p-boundedness of pseudo-differential operators with non-regular symbols2011

    • Author(s)
      N. Tomita
    • Journal Title

      Arkiv for Matematik

      Volume: 49 Pages: 175-197

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Remarks on nonlinear operations on modulation spaces2011

    • Author(s)
      M. Sugimoto, N. Tomita and B. Wang
    • Journal Title

      Integral Transforms and Special Functions

      Volume: 22 Pages: 351-358

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Changes of variables in modulation and Wiener amalgam spaces2011

    • Author(s)
      M. Ruzhansky, M. Sugimoto, J. Toft and N. Tomita
    • Journal Title

      Mathematische Nachrichten

      Volume: 284 Pages: 2078-2092

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Remarks on nonlinear operations on modulation spaces2011

    • Author(s)
      M. Sugimoto, N. Tomita. and B. Wang
    • Journal Title

      Integral Transforms and Spec. Funct.

      Volume: 22 Pages: 351-358

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654049
  • [Journal Article] Remarks on nonlinear operations on modulation spaces2011

    • Author(s)
      Mitsuru Sugimoto, Naohito Tomitaand Baoxiang Wang
    • Journal Title

      Integral Transforms and Spec. Funct.

      Volume: 22 Pages: 351-358

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] Remarks on nonlinear operations on modulation spaces2011

    • Author(s)
      M.Sugimoto, N.Tomita, B.Wang
    • Journal Title

      Integral Equations and Special Functions

      Volume: 22 Issue: 4-5 Pages: 351-358

    • DOI

      10.1080/10652469.2010.541054

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097, KAKENHI-PROJECT-23340034
  • [Journal Article] Remarks on nonlinear operations on modulation spaces2011

    • Author(s)
      M.Sugimoto, N.Tomita, B.Wang
    • Journal Title

      Integral Transforms and Spec.Funct.

      Volume: 22 Pages: 351-358

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] A Hormander type multiplier theorem for multilinear operators2010

    • Author(s)
      N.Tomita
    • Journal Title

      J.Funct.Anal. vol 259

      Pages: 2028-2044

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204013
  • [Journal Article] A Hormander type multiplier theorem for multilinear operators2010

    • Author(s)
      N. Tomita
    • Journal Title

      Journal of Functional Analysis

      Volume: 259 Pages: 2028-2044

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Unimodular Fourier multipliers on modulation spaces M^{ p, q} for 0<p<12010

    • Author(s)
      N. Tomita
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 18 Pages: 125-132

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Estimates for unimodular Fourier multipliers on modulation spaces2009

    • Author(s)
      A.Miyachi, F.Nicola, S.Rivetti, A.Tabacco, N.Tomita
    • Journal Title

      Proceedings of the American Mathematical Society 137

      Pages: 3869-3883

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Trace ideals for pseudodifferential operators and their commutators with symbols in alpha-mudulation spaces2009

    • Author(s)
      M.Kobayashi, M.Sugimoto, N.Tomita
    • Journal Title

      J.Anal.Math. vol 107

      Pages: 141-160

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204013
  • [Journal Article] Embedding relations between local Hardy and modulationspaces2009

    • Author(s)
      M. Kobayashi, A. Miyachi, N. Tomita
    • Journal Title

      Studia Mathematica 192

      Pages: 79-96

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Journal Article] On the L2-boundedness of pseudo-differential operators and their commutators with symbols in α-modulation spaces2009

    • Author(s)
      Masaharu Kobayashi, Mitsuru Sugimoto & Naohito Tomita
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 350 Pages: 157-169

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] Embedding relations between local Hardy and modulation spaces2009

    • Author(s)
      M.Kobayashi, A.Miyachi, N.Tomita
    • Journal Title

      Studia Mathematica 192

      Pages: 79-96

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Journal Article] Estimates for unimodular Fourier multipliers on modulation Spaces2009

    • Author(s)
      A. Miyachi, F. Nicola, S. Rivetti, A. Tabacco, N. Tomita
    • Journal Title

      Proceedings of the American Mathematical Society Vol.137

      Pages: 3869-3883

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Journal Article] Estimates for unimodular Fourier multipliers on modulation Spaces2009

    • Author(s)
      A.Miyachi, F.Nicola, S.Rivetti, A.Tabacco, N.Tomita
    • Journal Title

      Proceedings of the American Mathematical Society 137

      Pages: 3869-3883

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Journal Article] Estimates for unimodular Fourier multipliers on modulation spaces2009

    • Author(s)
      A. Miyachi, F. Nicola, S. Rivetti, A. Tabacco and N. Tomita
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 137 Pages: 3869-3883

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Embedding relation between local Hardy and modulation spaces2009

    • Author(s)
      M.Kobayashi, A.Miyachi, N.Tomita
    • Journal Title

      Studia Mathematica 192

      Pages: 79-96

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Embedding relations between local Hardy and modulation spaces2009

    • Author(s)
      M. Kobayashi, A. Miyachi and N. Tomita
    • Journal Title

      Studia Mathematica

      Volume: 192 Pages: 79-96

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Embedding relations between local Hardy and modulation spaces2009

    • Author(s)
      M. Kobayashi, A. Miyachi, N. Tomita
    • Journal Title

      Studia Mathematica Vol.192

      Pages: 79-96

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Journal Article] On the L^2-boundedness of pseudo-differential operators and their commutators with symbols in α-modulation spaces2009

    • Author(s)
      杉本充, 小林政晴・冨田直人, との共著
    • Journal Title

      J.Math.Anal.Appl. 350

      Pages: 157-169

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] Trace ideals for pseudo-differential operators and their commutators with symbols in α-modulation spaces2009

    • Author(s)
      Masaharu Kobayashi, Mitsuru Sugimoto & Naohito Tomita
    • Journal Title

      J. Anal. Math.

      Volume: 107 Pages: 141-160

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] On the Hormander multiplier theorem and modulation spaces2009

    • Author(s)
      N.Tomita
    • Journal Title

      Applied and Computational Harmonic Analysis 26

      Pages: 408-415

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] Trace ideals for pseudo-differential operators and their commutators with symbols in α-modulation spaces2009

    • Author(s)
      杉本充, 小林政晴・冨田直人, との共著
    • Journal Title

      J.Anal.Math. 107

      Pages: 141-160

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] Trace ideals for pseudo-differential operators and their commutators with symbols in α-modulation spaces2009

    • Author(s)
      M. Kobayashi, M. Sugimoto, N. Tomita
    • Journal Title

      J.Anal.Math. 107

      Pages: 141-160

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] On the Hormander multiplier theorem and modulation spaces2009

    • Author(s)
      N. Tomita
    • Journal Title

      Applied and Computational Harmonic Analysis

      Volume: 26 Pages: 408-415

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Journal Article] A counterexample for boundedness of pseudo-differential operators on modulation spaces2008

    • Author(s)
      Mitsuru Sugimoto & Naohito Tomita
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 136 Pages: 1681-1690

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] Boundedness properties of pseudo-differential and Calderon-Zygmund operators on modulation spaces2008

    • Author(s)
      M. Sugimoto, N. Tomita
    • Journal Title

      J.Fourier Anal.Appl. 14

      Pages: 124-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] A remark on fractional integrals on modulation spaces2008

    • Author(s)
      杉本充(冨田直人との共著)
    • Journal Title

      Math. Nachr. 281

      Pages: 1372-1379

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] A remark on fractional integrals on modulation spaces2008

    • Author(s)
      M. Sugimoto, N. Tomita
    • Journal Title

      Math.Nachr. 281

      Pages: 1372-1379

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] A counterexample for boundedness of pseudodifferential operators on modulation spaces2008

    • Author(s)
      M.Sugimoto, N.Tomita
    • Journal Title

      Proc.Amer.Math.Soc. vol 136

      Pages: 1681-1690

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204013
  • [Journal Article] A counter example for boundedness of pseudo-differerntial operators on Modulation space2008

    • Author(s)
      M.Sugimoto amd N. Tomita
    • Journal Title

      Proc. Amer. Math. Soc. 136

      Pages: 1681-1690

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204013
  • [Journal Article] A remark on fractional integrals on modulation spaces2008

    • Author(s)
      Mitsuru Sugimoto & Naohito Tomita
    • Journal Title

      Math. Nachr.

      Volume: 281 Pages: 1372-1379

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] Boundedness properties of pseudo-differential and Calderon-Zygmund operators on modulation spaces2008

    • Author(s)
      杉本充(冨田直人との共著)
    • Journal Title

      J. Fourier Anal. Appl. 14

      Pages: 124-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340029
  • [Journal Article] A new aspect of the Lp-extension problem for inhomogeneous differential equations2007

    • Author(s)
      M. Sugimoto, M. Tomita
    • Journal Title

      Oper. Theory Adv. Appl. 172

      Pages: 153-159

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204013
  • [Journal Article] The dilation property of modulation spaces and their inclusion relation with Besov spaces2007

    • Author(s)
      M. Sugimoto, N. Tomita
    • Journal Title

      J. Func. Anal. 248

      Pages: 79-106

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204013
  • [Journal Article] Estimates for unimodular Fourier multipliers on modulationspaces

    • Author(s)
      A. Miyachi, F. Nicola, S. Rivetti, A. Tabacco, N. Tomita
    • Journal Title

      Proceedings of the American Mathematical Society (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Journal Article] Estimates for unimodular Fourier multipliers on modulation spaces, to appear in Proceedings of the American Mathematical Society

    • Author(s)
      Akihiko Miyachi, Fabio Nicola, Silvia Rivetti, Anita Tabacco, Naohito Tomita
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Presentation] The boundedness of some bilinear wave operators2023

    • Author(s)
      N. Tomita,
    • Organizer
      10th East Asian Conference in Harmonic Analysis and Applications (Online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03700
  • [Presentation] The boundedness of some bilinear wave operators2023

    • Author(s)
      冨田直人
    • Organizer
      The10th East Asian Conference in Harmonic Analysis and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20223
  • [Presentation] Hormander type multiplier theorems for bilinear operators2021

    • Author(s)
      N. Tomita
    • Organizer
      13th International ISAAC Congress
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03700
  • [Presentation] 双線形擬微分作用素について2021

    • Author(s)
      冨田 直人
    • Organizer
      金曜セミナー(茨城大学).ただし,オンライン発表
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03700
  • [Presentation] Hormander type multiplier theorems for bilinear operators2021

    • Author(s)
      冨田直人
    • Organizer
      The 13th International ISAAC Congress
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20223
  • [Presentation] On the boundedness of bilinear pseudo-differential operators of S_{0,0}-type2019

    • Author(s)
      N. Tomita
    • Organizer
      2019 Taiwan Mathematical Society Annual Meeting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] On the boundedness of bilinear pseudo-differential operators of S_{0,0}-type2019

    • Author(s)
      Naohito Tomita
    • Organizer
      2019 Taiwan Mathematical Society Annual Meeting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] On the L^2 times L^2 to L^r boundedness of bilinear pseudo-differential operators of S_{0,0}-type2019

    • Author(s)
      Naohito Tomita
    • Organizer
      NCTS Workshop on Harmonic Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] On the $L^2 \times L^2 \to L^r$ boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type2019

    • Author(s)
      N. Tomita
    • Organizer
      NCTS Workshop on Harmonic Analysis (Taiwan)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] S_{0,0}型の双線形擬微分作用素について2019

    • Author(s)
      冨田直人
    • Organizer
      信州大学偏微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] Bilinear pseudo-differential operators with exotic symbols2019

    • Author(s)
      Naohito Tomita
    • Organizer
      12th International ISAAC Congress
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] S_{0,0} 型の双線形擬微分作用素について2019

    • Author(s)
      冨田 直人
    • Organizer
      信州大学偏微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] Bilinear pseudo-differential operators with exotic symbols2019

    • Author(s)
      N. Tomita
    • Organizer
      12th International ISAAC Congress
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] Bilinear pseudo-differential operators with exotic symbols2018

    • Author(s)
      Akihiko Miyachi and Naohito Tomita
    • Organizer
      調和解析セミナー
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] Bilinear pseudo-differential operators with exotic symbols2018

    • Author(s)
      Naohito Tomita
    • Organizer
      International Conference on Harmonic Analysis and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] 双線形擬微分作用素とその応用2018

    • Author(s)
      冨田直人
    • Organizer
      非線形波動及び分散型方程式の研究
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] Bilinear pseudo-differential operators with exotic symbols2018

    • Author(s)
      N. Tomita
    • Organizer
      International Conference on Harmonic Analysis and its Applications (China)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] Bilinear pseudodifferential operators of type 1,1 and their application to the Kato-Ponce inequality2017

    • Author(s)
      Naohito Tomita
    • Organizer
      The 5th East Asian Conference in Harmonic Analysis and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] Bilinear pseudodifferential operators of type 1,1 and their application to the Kato-Ponce inequality2017

    • Author(s)
      Naohito Tomita
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] Bilinear pseudodifferential operators of type 1,1 and their application to the Kato-Ponce inequality2017

    • Author(s)
      N. Tomita
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] Bilinear pseudodifferential operators of type 1,1 and their application to the Kato-Ponce inequality2017

    • Author(s)
      N. Tomita
    • Organizer
      5nd East Asian Conference in Harmonic Analysis and Applications (China)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] Weighted norm inequalities for multilinear Fourier multipliers with critical Besov regularity2016

    • Author(s)
      N. Tomita
    • Organizer
      International Workshop on Harmonic Analysis and its Applications in Beijing 2016
    • Place of Presentation
      Beihang University (China)
    • Year and Date
      2016-09-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] On the boundedness of multilinear Fourier multiplier operators2016

    • Author(s)
      冨田直人
    • Organizer
      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(京都市)
    • Year and Date
      2016-07-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] Weighted norm inequalities for multilinear Fourier multipliers with critical Besov regularity2016

    • Author(s)
      N. Tomita
    • Organizer
      International Workshop on Harmonic Analysis and its Applications in Beijing 2016
    • Place of Presentation
      Beihang University (北京、中国)
    • Year and Date
      2016-09-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] On the boundedness of multilinear Fourier multiplier operators2016

    • Author(s)
      N. Tomita
    • Organizer
      Harmonic analysis and its applications in Matsumoto 2016, Winter
    • Place of Presentation
      信州大学
    • Year and Date
      2016-02-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] On the boundedness of multilinear Fourier multiplier operators2016

    • Author(s)
      冨田 直人
    • Organizer
      調和解析と非線形偏微分方程式
    • Place of Presentation
      京都大学
    • Year and Date
      2016-07-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05201
  • [Presentation] 多重線形フーリエマルチプライヤー作用素の有界性について2015

    • Author(s)
      冨田 直人
    • Organizer
      浜松偏微分方程式研究集会
    • Place of Presentation
      静岡大学
    • Year and Date
      2015-12-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] On the boundedness of multilinear Fourier multiplier operators2015

    • Author(s)
      N. Tomita
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2015
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-11-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] Flag paraproducts on Hardy spaces2014

    • Author(s)
      Naohito Tomita
    • Organizer
      2nd East Asian Conference in Harmonic Analysis and Applications
    • Place of Presentation
      Mudanjiang Normal University, 中国
    • Year and Date
      2014-07-13
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] 特異性の強い多重線形フーリエマルチプライヤーについて2014

    • Author(s)
      冨田直人
    • Organizer
      南大阪応用数学セミナー
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2014-05-31
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] 多重線形フーリエマルチプライヤー作用素の有界性について 1,22013

    • Author(s)
      冨田直人
    • Organizer
      調和解析セミナー
    • Place of Presentation
      日本女子大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] 双線形フーリエマルチプライヤー作用素の有界性について2013

    • Author(s)
      冨田直人
    • Organizer
      日本数学会 秋季総合分科会,特別講演(函数方程式分科会)
    • Place of Presentation
      愛媛大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] Smoothness conditions for bilinear Fourier multipliers2013

    • Author(s)
      N. Tomita
    • Organizer
      1st East Asian Conference in Harmonic Analysis and Applications
    • Place of Presentation
      Seoul National University
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] 双線形擬微分作用素に対するCalderon-Vaillancourt 型の定理について2013

    • Author(s)
      冨田直人
    • Organizer
      線形および非線形分散型方程式の研究
    • Place of Presentation
      京都大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] Calderon-Vaillancourt type theorem for bilinear operators2012

    • Author(s)
      N. Tomita
    • Organizer
      Harmonic Analysis and its Applications at Tokyo 2012
    • Place of Presentation
      首都大学東京
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] Sharp estimates for bilinear Fourier multipliers Fourier Analysis and Pseudo-Differential Operators2012

    • Author(s)
      Naohito Tomita
    • Organizer
      研究集会「Fourier Analysis and Pseudo-Differential Operators」
    • Place of Presentation
      Aalto University (Helsinki, Finland)
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] Sharp smoothness conditions for bilinear Fourier multipliers2012

    • Author(s)
      冨田直人, 宮地晶彦
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-29
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] Sharp estimates for bilinear Fourier multipliers2012

    • Author(s)
      冨田直人
    • Organizer
      松山解析セミナー
    • Place of Presentation
      愛媛大学
    • Year and Date
      2012-02-04
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] Calderon-Vaillancourt type theorem for bilinear operators2012

    • Author(s)
      Naohito Tomita
    • 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] Sharp estimates for bilinear Fourier multipliers2012

    • Author(s)
      冨田直人
    • Organizer
      実函数論函数解析学合同シンポジウム
    • Place of Presentation
      東京理科大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] Sharp smoothness conditions for bilinear Fourier multipliers2012

    • Author(s)
      冨田直人, 宮地晶彦
    • 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] 双線形擬微分作用素に対するCalderon-Vaillancourt型の定理について2012

    • Author(s)
      冨田直人
    • 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
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] Sharp estimates for bilinear Fourier multipliers2012

    • Author(s)
      N. Tomita
    • Organizer
      Fourier Analysis and Pseudo-Differential Operators
    • Place of Presentation
      Aalto University (Finland)
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] 双線形擬微分作用素に対するCalderon-Vaillancourt型の定理について2012

    • Author(s)
      冨田直人
    • Organizer
      調和解析セミナー
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] Sharp estimates for bilinear Fourier multipliers2012

    • Author(s)
      冨田直人
    • Organizer
      実函数論函数解析学合同シンポジウム
    • Place of Presentation
      東京理科大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] Sharp conditions for multilinear Fourier multipliers2011

    • Author(s)
      Akihiko Miyachi, Naohito Tomita
    • Organizer
      Harmonic Analysis and its Applications at Nara 2011
    • Place of Presentation
      奈良学セミナーハウス
    • Year and Date
      2011-11-11
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] 双線形フーリエマルチプライヤーが有界作用素になるための滑らかさについて2011

    • Author(s)
      冨田直人
    • Organizer
      熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学
    • Year and Date
      2011-11-19
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] Sharp estimates for bilinear Fourier multipliers2011

    • Author(s)
      Naohito Tomita
    • Organizer
      調和解析と非線形偏微分方程式
    • Place of Presentation
      数理解析研究所,京都大学(招待講演)
    • Year and Date
      2011-07-04
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] 双線形フーリエマルチプライヤーに対するH¥" ormander型の定理について2011

    • Author(s)
      冨田直人
    • Organizer
      数理科学セミナー
    • Place of Presentation
      茨城大学
    • Year and Date
      2011-03-09
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] 双線形フーリエマルチプライヤーに対するシャープな評価について2011

    • Author(s)
      冨田直人
    • Organizer
      月曜解析セミナー
    • Place of Presentation
      北海道大学
    • Year and Date
      2011-11-07
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] On the L^p-boundedness of pseudo-differential operators with symbols of limited smoothness2011

    • Author(s)
      N.Tomita
    • Organizer
      ISAAC Congress 2011
    • Place of Presentation
      Peoples' Friendship University of Russia, Russia
    • Year and Date
      2011-08-24
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] On the L^p-boundedness of pseudo-differential operators with symbols of limited smoothness2011

    • Author(s)
      N. Tomita
    • Organizer
      ISAAC Congress 2011
    • Place of Presentation
      Peoples' Friendship University of Russia(Russia, Moscow)
    • Year and Date
      2011-08-24
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] 多重線形フーリエマルチプライヤーに対するHormander型の定理について2011

    • Author(s)
      冨田直人
    • Organizer
      神戸解析セミナー
    • Place of Presentation
      神戸大学
    • Year and Date
      2011-02-01
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] 双線形フーリエマルチプライヤーについて2011

    • Author(s)
      冨田直人
    • Organizer
      三大学偏微分方程式セミナー
    • Place of Presentation
      中央大学
    • Year and Date
      2011-10-26
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] 双線形フーリエマルチプライヤーが有界作用素になるための滑らかさの条件について2011

    • Author(s)
      冨田直人
    • Organizer
      調和解析セミナー
    • Place of Presentation
      大阪大学
    • Year and Date
      2011-12-26
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] Sharp estimates for bilinear Fourier multipliers2011

    • Author(s)
      N. Tomita
    • Organizer
      調和解析と非線形偏微分方程式
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-07-04
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] A Hormander type multiplier theorem for multilinear operators2010

    • Author(s)
      N. Tomita
    • Organizer
      International Workshop" Fourier Analysis and Partial Differential Equations"
    • Place of Presentation
      University of Gottingen(Germany, Gottingen)
    • Year and Date
      2010-06-14
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] On the L^p-boundedness of pseudo-differential operators with symbols of limited smoothness2010

    • Author(s)
      N. Tomita
    • Organizer
      Joint workshop on PDE at Jinhua
    • Place of Presentation
      Zhejiang Normal University(China, Zhejiang)
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] 双線形フーリエマルチプライヤーが有界作用素になるための微分回数について2010

    • Author(s)
      冨田直人
    • Organizer
      偏微分方程式の諸問題
    • Place of Presentation
      東海大学
    • Year and Date
      2010-10-31
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] A Hormander type multiplier theorem for multilinear operators. 22010

    • Author(s)
      冨田直人
    • Organizer
      実解析学シンポジウム
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-11-12
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] A Hormander type multiplier theorem for multilinear operators2010

    • Author(s)
      N. Tomita
    • Organizer
      Microlocal Day# 2,
    • Place of Presentation
      Imperial College London(England, London)
    • Year and Date
      2010-12-03
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] A Hormander type multiplier theorem for multilinear operators2010

    • Author(s)
      N.Tomita
    • Organizer
      International Workshop "Fourier Analysis and Partial Differential Equations"
    • Place of Presentation
      University of Gottingen (Germany)(招待講演)
    • Year and Date
      2010-06-14
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] 双線形フーリエマルチプライヤーが有界作用素になるための微分回数について2010

    • Author(s)
      冨田直人
    • Organizer
      神楽坂解析セミナー
    • Place of Presentation
      東京理科大学
    • Year and Date
      2010-01-23
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] 多重線形フーリエマルチプライヤーが有界作用素になるための滑らかさについて2010

    • Author(s)
      冨田直人
    • Organizer
      調和解析セミナー
    • Place of Presentation
      日本大学
    • Year and Date
      2010-12-25
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] On the L^p-boundedness of pseudo-differential operators with non-regular symbols2009

    • Author(s)
      N.Tomita
    • Organizer
      Harmonic Analysis and Partial Differential Equations with Applications
    • Place of Presentation
      Beijing Normal University (CHINA)
    • Year and Date
      2009-05-28
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] On the L^p-boundedness of pseudo-differential operators with non-regular symbols2009

    • Author(s)
      N. Tomita
    • Organizer
      Harmonic Analysis and Partial Differential Equations
    • Place of Presentation
      Harmonic Analysis and Partial Differential Equations
    • Year and Date
      2009-09-30
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] On the L^p-boundedness of pseudo-differential operators with non-regular symbols2009

    • Author(s)
      N. Tomita
    • Organizer
      Harmonic Analysis and its Applications at Pohang 2009
    • Place of Presentation
      Pohang University of Science and Technology(South Korea, Pohang)
    • Year and Date
      2009-11-26
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] Unimodular Fourier multiplierのmodulation空間評価2009

    • Author(s)
      宮地晶彦・冨田直人
    • Organizer
      日本数学会秋季総合分科会, 実関数論分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Presentation] 局所Hardy空間とmodulation空間の包含関係について2009

    • Author(s)
      小林政晴・宮地晶彦・冨田直人
    • Organizer
      日本数学会秋季総合分科会, 実関数論分科会
    • Place of Presentation
      阪大学
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-18340043
  • [Presentation] Unimodular Fourier multipliers on modulation spaces2009

    • Author(s)
      N. Tomita
    • Organizer
      調和解析と非線形偏微分方程式
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-08
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] On the L^p-boundedness of pseudo-differential operators with non-regular symbols2009

    • Author(s)
      N. Tomita
    • Organizer
      Harmonic Analysis and Partial Differential Equations with Applications
    • Place of Presentation
      Beijing Normal University(China, Beijing)
    • Year and Date
      2009-05-28
    • Data Source
      KAKENHI-PROJECT-21740097
  • [Presentation] Psudo differential operators on modulation spaces2008

    • Author(s)
      冨田直人
    • Organizer
      日本数学会2008年度年会(実函数論分科会特別講演)
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Data Source
      KAKENHI-PROJECT-19204013
  • [Presentation] Flag paraproducts on Hardy spaces

    • Author(s)
      N. Tomita
    • Organizer
      2nd East Asian Conference in Harmonic Analysis and Applications
    • Place of Presentation
      Mudanjiang Normal University (Mudanjiang, China)
    • Year and Date
      2014-07-11 – 2014-07-14
    • Data Source
      KAKENHI-PROJECT-24740088
  • [Presentation] 双線形フーリエマルチプライヤー作用素の有界性について

    • Author(s)
      冨田直人
    • Organizer
      日本数学会秋季総合分科会 函数方程式分科会
    • Place of Presentation
      愛媛大学城北キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] Smoothness conditions for bilinear Fourier multipliers

    • Author(s)
      冨田直人
    • 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
  • [Presentation] 双線形擬微分作用素に対するCalderon-Vaillancourt型の定理について

    • Author(s)
      冨田直人
    • Organizer
      線形および非線形分散型方程式の研究
    • Place of Presentation
      数理解析研究所(京都大学)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340034
  • 1.  MIYACHI Akihiko (60107696)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 23 results
  • 2.  SUGIMOTO Mitsuru (60196756)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 21 results
  • 3.  FURUYA Yasuo (70234903)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  KOBAYASHI Masaharu (30516480)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 4 results
  • 5.  SAWANO Yoshihiro (40532635)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  TACHIZAWA Kazuya (80227090)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  NAKAI Eiichi (60259900)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  TANAKA Hitoshi (70422392)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  TSUTSUI Yohei (40722773)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  KANJIN Yuichi (50091674)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  SATO Shuichi (20162430)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  SATO Enji (80107177)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  OKADA Masami (00152314)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  KOZONO Hideo (00195728)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  SHINOHARA Masahiko (70086346)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  OAKU Toshinori (60152039)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  NISHITANI Tatsuo (80127117)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  HAYASHI Nakao (30173016)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  DOI Shinichi (00243006)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  SUNAGAWA Hideaki (80375394)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  KUBO Hideo (50283346)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  TAKUWA Hideki (80403111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  UMEDA Tomio (20160319)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  IWASAKI Chisato (30028261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  HOSHIRO Toshihiko (40211544)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  FUJIIE SETSURO (00238536)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  TSUGAWA Kotaro (70402451)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  KATO Jun (00432237)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  HISHIDA Toshiaki (60257243)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  MIYAKE Masatake (70019496)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  KIKUCHI Masato (20204836)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  TERASAWA YUTAKA (90546160)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  加藤 睦也
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

URL: 

Are you sure that you want to link your ORCID iD to your KAKEN Researcher profile?
* This action can be performed only by the researcher himself/herself who is listed on the KAKEN Researcher’s page. Are you sure that this KAKEN Researcher’s page is your page?

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi