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Kato Tomoya  加藤 睦也

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KATO Tomoya  加藤 睦也

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Researcher Number 40847026
Other IDs
Affiliation (Current) 2026: 岐阜大学, 工学部, 准教授
Affiliation (based on the past Project Information) *help 2023 – 2024: 岐阜大学, 工学部, 准教授
2020 – 2022: 群馬大学, 大学院理工学府, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related
Keywords
Principal Investigator
フーリエ積分作用素 / フーリエ乗子作用素 / 擬微分作用素 / 双線形作用素 / 振動積分作用素 / 双線形振動積分作用素 / 双線形フーリエ積分作用素 / ウィーナー・アマルガム空間 / アマルガム空間 / フーリエマルチプライヤー … More / ヘルマンダークラス / 双線形擬微分作用素 / 局所bmo空間 / 局所ハーディ空間 / 短時間フーリエ変換 / Wiener アマルガム空間 / 多重線形擬微分作用素 / 波動作用素 / 関数空間 / 多重線形作用素 Less
  • Research Projects

    (2 results)
  • Research Products

    (20 results)
  • Co-Researchers

    (2 People)
  •  多重線形作用素の有界性に関する研究Principal Investigator

    • Principal Investigator
      加藤 睦也
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Gifu University
  •  Boundedness of multilinear pseudo-differential operatorsPrincipal Investigator

    • Principal Investigator
      KATO Tomoya
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Gifu University
      Gunma University

All 2024 2023 2022 2021

All Journal Article Presentation

  • [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] Notes on bilinear lattice bump Fourier multipliers2024

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

      RIMS Kokyuroku Bessatsu

      Volume: B95 Pages: 73-92

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23K12995
  • [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] Multilinear Pseudo-differential Operators with S_{0,0} Class Symbols of Limited Smoothness2023

    • Author(s)
      Kato Tomoya
    • Journal Title

      Journal of Fourier Analysis and Applications

      Volume: 29 Issue: 4

    • DOI

      10.1007/s00041-023-10016-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [Journal Article] A remark on the condition 1/p = 1/p_1 + 1/p_2 for boundedness of bilinear pseudo-differential operators with exotic symbols2023

    • Author(s)
      Kato Tomoya, Shida Naoto
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 52 Issue: 2 Pages: 285-300

    • DOI

      10.14492/hokmj/2021-539

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [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] Bilinear Pseudo-Differential Operators with Exotic Class Symbols of Limited Smoothness2021

    • Author(s)
      Kato Tomoya
    • Journal Title

      Journal of Fourier Analysis and Applications

      Volume: 27 Issue: 3

    • DOI

      10.1007/s00041-021-09847-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [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] A remark on bilinear pseudo-differential operators with symbols in the Sj\"ostrand class2021

    • Author(s)
      Kato Tomoya
    • Journal Title

      RIMS K\^oky\^uroku Bessatsu

      Volume: B88 Pages: 11-25

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [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
  • [Presentation] Boundedness of some bilinear wave operators2024

    • Author(s)
      加藤睦也
    • Organizer
      名古屋微分方程式セミナー
    • Data Source
      KAKENHI-PROJECT-23K12995
  • [Presentation] ある双線形波動作用素の有界性について2024

    • Author(s)
      加藤睦也
    • Organizer
      第40回調和解析定例セミナー
    • Data Source
      KAKENHI-PROJECT-23K12995
  • [Presentation] ある双線形波動作用素の有界性について2024

    • Author(s)
      加藤睦也
    • Organizer
      第123 回岐阜数理科学セミナー
    • Data Source
      KAKENHI-PROJECT-23K12995
  • [Presentation] Multilinear pseudo-differential operators with limited smooth S_{0,0} class symbols2023

    • Author(s)
      Kato Tomoya
    • Organizer
      The 14th ISAAC Congress
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [Presentation] Multilinear pseudo-differential operators with S_{0,0} class symbols of limited smoothness2022

    • Author(s)
      Kato Tomoya
    • Organizer
      The 19th Linear and Nonlinear Waves
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [Presentation] Multilinear pseudo-differential operators with S_{0,0} class symbols of limited smoothness2022

    • Author(s)
      Kato Tomoya
    • Organizer
      The MATRIX-RIMS Tandem Workshop on Geometric Analysis in Harmonic Analysis and PDE
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [Presentation] Boundedness of multilinear pseudo-differential operators of the H\"ormander class $S_{0,0}$ in Wiener amalgam spaces and in local Hardy spaces2021

    • Author(s)
      Kato Tomoya
    • Organizer
      調和解析・微分方程式勉強会
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [Presentation] Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type in Wiener amalgam spaces and in Lebesgue spaces2021

    • Author(s)
      Kato Tomoya
    • Organizer
      13th International ISAAC Congress
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14339
  • [Presentation] Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type in Wiener amalgam spaces and in Lebesgue spaces2021

    • Author(s)
      Kato Tomoya
    • Organizer
      Harmonic Analysis and Wave Phenomena
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14339
  • 1.  TOMITA Naohito
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 5 results
  • 2.  宮地 晶彦
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 2 results

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