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

2011 Fiscal Year Final Research Report

Study of singular integrals and function spaces

Research Project

  • PDF
Project/Area Number 21540199
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionTokai University

Principal Investigator

FURUYA Yasuo  東海大学, 沼津教養教育センター, 教授 (70234903)

Co-Investigator(Kenkyū-buntansha) NARASAKI Takashi  東海大学, 理学部, 教授 (70119692)
MATSUYAMA Tokio  中央大学, 理工学部, 教授 (70249712)
Project Period (FY) 2009 – 2011
Keywords特異積分 / ハーディー空間 / Morrey空間 / Herz空間
Research Abstract

We study boundedness of generalized singular integral operators on several function spaces, in particular, on Hardy space, Morrey space and Herz space. We also study multilinear singular interals and weighted estimates.

  • Research Products

    (29 results)

All 2012 2011 2010 2009

All Journal Article (14 results) (of which Peer Reviewed: 14 results) Presentation (15 results)

  • [Journal Article] The Adams inequality on weighted Morrey spaces2011

    • Author(s)
      T. Iida, Yasuo Komori-Furuya and E. Sato
    • Journal Title

      Tokoyo J. Math.

      Volume: vol.34 Pages: 535-545

    • Peer Reviewed
  • [Journal Article] A note on Muckenhoupt type weight classes on nondoubling measure spaces2011

    • Author(s)
      Yasuo Komori-Furuya
    • Journal Title

      Georgian Math. J.

      Volume: vol.18 Pages: 131-135

    • Peer Reviewed
  • [Journal Article] Fractional integral operators on Herz spaces2011

    • Author(s)
      Yasuo Komori-Furuya
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: vol.26 Pages: 15-22

    • Peer Reviewed
  • [Journal Article] Two remarks on commutators of Hardy operators2011

    • Author(s)
      Yasuo Komori-Furuya
    • Journal Title

      Australian J. of Math. Anal. and Appl

      Volume: vol.7 Pages: 1-5

    • Peer Reviewed
  • [Journal Article] Fractional integral operators on Herz spaces for supercritical indices2011

    • Author(s)
      Yasuo Komori-Furuya
    • Journal Title

      J. Funct. Spaces and Appl.

      Volume: vol.9 Pages: 179-190

    • Peer Reviewed
  • [Journal Article] Commutators of pseudo-differential operators on local Hardy spaces2011

    • Author(s)
      Yasuo Komori-Furuya
    • Journal Title

      Acta Sci. Math.

      Volume: vol.77 Pages: 489-501

    • Peer Reviewed
  • [Journal Article] Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation2010

    • Author(s)
      Tokio Matsuyama
    • Journal Title

      J. Math. Soc. Japan

      Volume: vol.62 Pages: 1167-1204

    • Peer Reviewed
  • [Journal Article] Strong and weak estimates for fractional integral operators on some Herz-type function spaces2010

    • Author(s)
      Yasuo Komori and Katsuo Matsuoka
    • Journal Title

      Rendiconti del Circolo Math. di Palermo

      Volume: vol.82 Pages: 375-385

    • Peer Reviewed
  • [Journal Article] Weighted estimates for singular integral operators on CMO spaces2010

    • Author(s)
      Yasuo Komori-Furuya and K. Matsuoka
    • Journal Title

      Sci. Math. Japonicae

      Volume: vol.72 Pages: 219-226

    • Peer Reviewed
  • [Journal Article] A note on multilinear fractional integrals2010

    • Author(s)
      T. Iida, Yasuo Komori-Furuya and E. Sato
    • Journal Title

      Analysis in Theory and Applications

      Volume: Vol.26 Pages: 301-307

    • Peer Reviewed
  • [Journal Article] Asymptotic integration and dispersion for hyperbolic equations2010

    • Author(s)
      Tokio Matsuyama and M. Ruzhansky
    • Journal Title

      Advanced in Differential Equations

      Volume: vol.15 Pages: 721-756

    • Peer Reviewed
  • [Journal Article] Time decay for hyperbolic equations with homogeneous symbols2009

    • Author(s)
      Tokio Matsuyama and M. Ruzhansky
    • Journal Title

      Comptes Rendus Acad. Sci. Paris, Ser. I

      Volume: Vol.347 Pages: 915-919

    • Peer Reviewed
  • [Journal Article] Boundedness of several operators on weighted Herz spaces2009

    • Author(s)
      Yasuo Komori
    • Journal Title

      J. Funct. Sp. and Appl.

      Volume: vol.7 Pages: 1-12

    • Peer Reviewed
  • [Journal Article] Nondoubling measureと調和解析2009

    • Author(s)
      小森康雄
    • Journal Title

      数学

      Volume: 61巻 Pages: 376-394

    • Peer Reviewed
  • [Presentation] Global solutions to Kirchhoff systems2012

    • Author(s)
      松山登喜夫
    • Organizer
      早稲田大学応用解析研究会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2012-11-19
  • [Presentation] Asymptotic properties for hyperbolic systems with time-dependent coefficients2012

    • Author(s)
      Tokio Matsuyama
    • Organizer
      8th International ISAAC Congress, Moscow
    • Place of Presentation
      People's Friendship University of Russia
    • Year and Date
      2012-08-25
  • [Presentation] Integral operators on BσMorrrey-Campanato spaces2012

    • Author(s)
      古谷康雄, 松岡勝男, 中井英一, 澤野嘉宏
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-29
  • [Presentation] Global solutions to Kirchhoff systems2012

    • Author(s)
      松山登喜夫
    • Organizer
      発展方程式シンポジウム
    • Place of Presentation
      東海大学
    • Year and Date
      2012-03-08
  • [Presentation] Maximal functionの弱L^p有界性2011

    • Author(s)
      古谷康雄
    • Organizer
      調和解析セミナー
    • Place of Presentation
      大阪大学
    • Year and Date
      2011-12-16
  • [Presentation] Dispersion for 3D wave equation with a potential in exterior domains2011

    • Author(s)
      Tokio Matsuyama
    • Organizer
      Asymptotic Properties of Solutions to Hyperbolic Equations
    • Place of Presentation
      Imperial College London
    • Year and Date
      2011-03-23
  • [Presentation] New multiple weights and the Adams inequality on weighted Morrey spaces2010

    • Author(s)
      飯田毅士, 古谷康雄, 佐藤圓治
    • Organizer
      調和解析セミナー
    • Place of Presentation
      日本大学
    • Year and Date
      2010-12-26
  • [Presentation] Dispersion for 3D wave equation with a potential in a exterior domain2010

    • Author(s)
      松山登喜夫
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      京都大学
    • Year and Date
      2010-12-18
  • [Presentation] The Adams inequality on weighted Morrey spaces2010

    • Author(s)
      飯田毅士, 古谷康雄, 佐藤圓治
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-26
  • [Presentation] Cauchy problem for the system for damped wave equations with slowly decaying data2010

    • Author(s)
      楢崎隆
    • Organizer
      発展方程式シンポジウム
    • Place of Presentation
      東海大学
    • Year and Date
      2010-03-12
  • [Presentation] 多重線形特異積分入門2009

    • Author(s)
      古谷康雄
    • Organizer
      調和解析セミナー
    • Place of Presentation
      岡山大学
    • Year and Date
      2009-12-25
  • [Presentation] Pseudo-differential operators on Hardy spaces2009

    • Author(s)
      古谷康雄
    • Organizer
      偏微分方程式の諸問題
    • Place of Presentation
      東海大学
    • Year and Date
      2009-10-23
  • [Presentation] nondoubling測度空間上のweightに関する注意2009

    • Author(s)
      古谷康雄
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
  • [Presentation] Kirchhoff equation in an exterior domain2009

    • Author(s)
      Tokio Matsuyama
    • Organizer
      GF2009
    • Place of Presentation
      Wien University
    • Year and Date
      2009-09-03
  • [Presentation] Strichartz estimates for wave equation with a potential in an exterior domain2009

    • Author(s)
      Tokio Matsuyama
    • Organizer
      ISAAC Congress 2009
    • Place of Presentation
      Imperial College London
    • Year and Date
      2009-06-17

URL: 

Published: 2013-07-31  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi