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

特異積分とその応用

Research Project

Project/Area Number 14340051
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionTokyo Woman's Christian University

Principal Investigator

宮地 晶彦  東京女子大学, 文理学部, 教授 (60107696)

Co-Investigator(Kenkyū-buntansha) 勘甚 裕一  金沢大学, 自然科学研究科, 教授 (50091674)
小薗 英雄  東北大学, 大学院理学研究科, 教授 (00195728)
藪田 公三 (薮田 公三)  関西学院大学, 理工学部, 教授 (30004435)
立澤 一哉  北海道大学, 大学院理学研究科, 助教授 (80227090)
佐藤 秀一  金沢大学, 教育学部, 助教授 (20162430)
Project Period (FY) 2002 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥13,100,000 (Direct Cost: ¥13,100,000)
Fiscal Year 2005: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2004: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2003: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2002: ¥3,500,000 (Direct Cost: ¥3,500,000)
Keywordsハーディ空間 / 移植定理 / 特異積分 / 直交級数 / 最大関数 / 重み付き不等式 / ウェーブレット / ナヴィア・ストークス方程式 / 重み付き評価 / ハンケル変換 / マルキンキヴィッチ積分 / 擬微分作用素 / ウェイブレット / シュレーディンガー作用素 / ベゾフ空間 / トリーベル・リゾルキン空間 / ナビエ・ストークス方程式 / ヤコビ級数 / リトルウッド・ペーリー関数 / 楕円型作用素
Research Abstract

(1)古典的直交級数について.
実数直線の開区間上の重み付きハーディ空間において,ヤコビ級数に対する移植定理と乗子定理を示した.これは,重み付きのL^P空間におけるMuckenhouptの結果を,重み付きハーディ空間にまで拡張したものである.ヤコビ級数に対して,古典的な場合を含むハーディの不等式を示した.ハンケル変換に関する移植作用素がハーディ空間において有界であることを示した.
(2)重み付きHardy空間の函数論的な特徴付け.
実数直線の開区間上の重み付きハーディ空間について,特殊の場合に、正則関数のなす古典的なハーディ空間に対するBurkholder-Gundy-Silversteinの定理と同様の定理が成り立つことを,B.MuckenhouptとE.M.Steinが超球多項式による関数展開に関する考察から導入した一般化正則関数を用いて,示した.
(3) Littlewood-Paley関数とMarcinkiewicz積分について.
積分核に対する弱い仮定の下で,これらが,重み付きの空間やCampanato空間での評価を持つことを示した.
(4)関数方程式への調和解析と実解析の応用.
Waveletを応用して,Sobolev-Lieb-Thirringの一般化を示し,Schrodinger作用素の負の固有値の精密な評価を得た.Navier-Stokes方程式の研究に種々の関数空間や不等式などを応用し,Besov空間における解の性質の解明,弱解の内部正則性,孤立特異点の除去可能性の特徴付け,などの結果を得た.また,斉次Triebel-Lizorkin空間における双線形不等式を確立し,その応用としてNavier-Stokes方程式の局所古典解の延長可能性を論じた.

Report

(5 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (82 results)

All 2006 2005 2004 2003 2002 Other

All Journal Article (54 results) Book (2 results) Publications (26 results)

  • [Journal Article] Transplantation theorem for Jacobi series in weighted Hardy spaces, II2006

    • Author(s)
      Akihiko Miyachi
    • Journal Title

      Mathematische Annalen (掲載予定)

    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Singular and fractional integrals along variable surfaces2006

    • Author(s)
      D.Fan, S.Sato
    • Journal Title

      Hokkaido Mathematical Journal Vol.35, No.1

      Pages: 61-85

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Existence and boundedness of parametrized Marcinkiewicz integrals with rough kernel on Campanato spaces2006

    • Author(s)
      Y.Ding, Q.Xue, K.Yabuta
    • Journal Title

      Nagoya Mathematical Journal Vol.181

      Pages: 103-148

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Existence and boundedness of parametrized Marcinkiewicz integral with rough kernel on Campanato spaces2006

    • Author(s)
      Y.Ding, Q.Xue, Kozo Yabuta
    • Journal Title

      Nagoya Mathematical Journal Vol.181

      Pages: 103-148

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 重みつきハーディ空間とヤコビ級数2005

    • Author(s)
      宮地 晶彦
    • Journal Title

      数学 57巻,4号

      Pages: 369-382

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A transplantation theorem for the Hankel transform on the Hardy space2005

    • Author(s)
      Yuichi Kanjin
    • Journal Title

      Tohoku Mathematical Journal Vol.57

      Pages: 231-246

    • NAID

      110001232645

    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] A note on weighted estimates for certain classes of pseudo-differential operators2005

    • Author(s)
      Shuichi Sato
    • Journal Title

      Rocky Mountain Journal of Mathematics Vol.35

      Pages: 267-284

    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Weighted Sobolev-Lieb-Thirring inequalities2005

    • Author(s)
      Kazuya Tachizawa
    • Journal Title

      Revista Mathematica Iberoamericana Vol.21

      Pages: 67-85

    • NAID

      120006456909

    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 重み付きハーディ空間とヤコビ級数2005

    • Author(s)
      宮地 晶彦
    • Journal Title

      数学 57巻4号

      Pages: 369-382

    • NAID

      10017177492

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Boundedness of the Cesaro operator in Hardy spaces2004

    • Author(s)
      Akihiko Miyachi
    • Journal Title

      Journal of Fourier Analysis and Application Vol.10, Issue 1

      Pages: 83-92

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A transplantation theorem for Jacobi series in weighted Hardy spaces2004

    • Author(s)
      Akihiko Miyachi
    • Journal Title

      Advances in Mathematics Vol. 184

      Pages: 177-206

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Hardy's inequality for Jacobi expansions2004

    • Author(s)
      Yuichi Kanjin, Kunio Sato
    • Journal Title

      Math. Inequal. Appl. Vol.7, No.4

      Pages: 551-555

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations2004

    • Author(s)
      H.Kozono, N.Yatsu
    • Journal Title

      Mathematische Zeitsuchrift Vol.246

      Pages: 55-68

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Interior regularity criteria in weak spaces for the Navier-Stokes equations2004

    • Author(s)
      H.Kim, H.Kozono
    • Journal Title

      Manuscripta Mathematica Vol.115

      Pages: 85-100

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations2004

    • Author(s)
      H.Kozono, Y.Shimada
    • Journal Title

      Mathematische Nachrichten vol.276

      Pages: 63-74

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Weighted weak type (1,1) estimates for singular integrals and Littlewood-Paleyfunctions2004

    • Author(s)
      D.Fan, S.Sato
    • Journal Title

      Studia Mathematica Vol163

      Pages: 119-136

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Existence and boundedness of g_λ^η-function and Marcinkiewicz functions on Campanato spaces2004

    • Author(s)
      Kozo Yabuta
    • Journal Title

      Scientiae Mathematicae Japonicae Vol.59, No.1

      Pages: 93-112

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Density of the set of all infinitely differentiable functions with compact support in weighted Sobolev spaces2004

    • Author(s)
      E.Nakai, N.Tomita, K.Yabuta
    • Journal Title

      Scientiae Mathematicae Japonicae Vol.60, No.1

      Pages: 121-127

    • NAID

      10014189091

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The quarkonial characterization of weighted spaces and its applications2004

    • Author(s)
      Kazuya Tachizawa
    • Journal Title

      変微分方程式と時間周波数解析(数理解析研究所講究録) 1385

      Pages: 136-143

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Minimal filtered free resolutions for analytic D-modules2004

    • Author(s)
      M.Granger, T.Oku
    • Journal Title

      Journal of Pure and Applied Algebra Vol.191

      Pages: 57-180

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A transplantation theorem for Jacobi series in weighted Hardy spaces2004

    • Author(s)
      Akihiko Miyachi
    • Journal Title

      Advances in Mathematics Vol.184

      Pages: 177-206

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Boundedness of the Cesaro operators in Hardy spaces2004

    • Author(s)
      Akihiko Miyachi
    • Journal Title

      Journal of Fourier Analysis and Applications Vol.10,No.1

      Pages: 83-92

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Existence and boundedness of g_λ^* function and Marcinkiewicz functions on Campanato spaces2004

    • Author(s)
      Kozo Yabuta
    • Journal Title

      Scientiae Mathematicae Japonicae Vol.29,No.1

      Pages: 93-112

    • NAID

      10012917222

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Density of the set of all infinitely differentiable functions with compact support in weighted Sobolev spaces2004

    • Author(s)
      E.Nakai, N.Tomita, K.Yabuta
    • Journal Title

      Scientiae Mathematicae Japonicae Vol.60,No.1

      Pages: 121-127

    • NAID

      10014189091

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Weighted weak type (1,1) estimates for singular integrals and Littlewood-Paley functions2004

    • Author(s)
      D.Fan, Shuichi Sato
    • Journal Title

      Studia Mathematica Vol.163

      Pages: 119-136

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Hardy's inequality for Jacobi expansions2004

    • Author(s)
      Yuichi Kanjin, Kunio Sato
    • Journal Title

      Math.Inequal.Appl. Vol.7,No.4

      Pages: 551-555

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Minimal filtered free resolutions for analytic D-modules2004

    • Author(s)
      H.Granger, T.Oaku
    • Journal Title

      Journal of Pure and Applied Algebra Vol.191

      Pages: 57-180

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Weighted Hardy spaces on a domain and its application2003

    • Author(s)
      Akihiko Miyachi
    • Journal Title

      Function Spaces, Differential Operators and Nonlinear Analysis, The Hans Triebel Anniversary Volume

      Pages: 117-140

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 直交関数系の調和解析2003

    • Author(s)
      勘甚 裕一
    • Journal Title

      数学 第55巻,第1号

      Pages: 55-71

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Remark on the paper by S.Dubois "Mild solutions to the Navier-Stokes equations and energy equality"2003

    • Author(s)
      Hideo Kozono
    • Journal Title

      Differential and Integral Equations Vol.16

      Pages: 583-585

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Navier-Stokes equations in the Besov space near L^∞ and BMO2003

    • Author(s)
      H.Kozono, T.Ogawa, Y.Taniuchi
    • Journal Title

      Kyushu Journal of Mathematics Vol.57

      Pages: 303-324

    • NAID

      110001263203

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 乱流の数学的理論2003

    • Author(s)
      小薗 英雄
    • Journal Title

      Parity 18巻

      Pages: 28-35

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Some weighted estimates for Littlewood-Paley functions and radial multipliers2003

    • Author(s)
      Suichi Sato
    • Journal Title

      Journal of Mathematical Analysis and Applications vol.278, Issue 2

      Pages: 308-323

    • NAID

      120002233580

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 特異積分とLittlewood-Paley関数2003

    • Author(s)
      佐藤 秀一
    • Journal Title

      数学 第55巻,第2号

      Pages: 128-147

    • NAID

      10011796759

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A generalization of the Lieb-Thirring inequalities in low dimension2003

    • Author(s)
      Kazuya Tachizawa
    • Journal Title

      Hokkaido Mathematical Journal Vol.32

      Pages: 383-399

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Stokes problem for Lipschitz domain2002

    • Author(s)
      H.J.Choe, H.Kozono
    • Journal Title

      Indiana University Mathematics Journal Vol. 51

      Pages: 1235-1260

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Asymptotic behaviour and net force the Navier-Stokes flows in exterior domains2002

    • Author(s)
      H.J.Choe, H.Kozono
    • Journal Title

      Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics

      Pages: 28-69

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations2002

    • Author(s)
      H.Kozono, T.Ogawa, Y.Taniuchi
    • Journal Title

      Mathematische Zeitschrift Vol.242

      Pages: 251-278

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Remarks on Littlewood-Paley functions and singular integrals2002

    • Author(s)
      D.Fan, S.Sato
    • Journal Title

      Journal of Mathematical Society of Japan vol.54, No.3

      Pages: 565-585

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Multilinearized Littlewood-Paley operators2002

    • Author(s)
      S.Sato, K.Yabuta
    • Journal Title

      Scientiae Mathematicae Japonicae vol.55, No.3

      Pages: 447-453

    • NAID

      120002907447

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] deLeeuw's theorem on Littlewood-Paley functions2002

    • Author(s)
      C.-P.Chen, D.Fan, S.Sato
    • Journal Title

      Nagoya Mathematical Journal vol.165

      Pages: 23-42

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On the moments of negative eigenvalues of elliptic operators2002

    • Author(s)
      Kazuya Tachizawa
    • Journal Title

      Journal of Fourier Analysis and Application Vol.8

      Pages: 233-244

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations

    • Author(s)
      H.Kim, H.Kozono
    • Journal Title

      Journal of Differential Equation (掲載予定)

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] An L^n-approach to Stokes and Navier-Stokes equations in general domains

    • Author(s)
      R.Farwig, H.Kozono, H.Sohr
    • Journal Title

      Acta Mathematica (掲載予定)

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Weighted Sobolev-Lieb-Thirring inequalities

    • Author(s)
      Kazuya Tachizawa
    • Journal Title

      Proceedings of Japan Academy, Ser. A. Mathematics (掲載予定)

    • NAID

      120006456909

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Tangent cone algorithm for homogenized differential operators

    • Author(s)
      M.Granger, T.Oku, N.Takayama
    • Journal Title

      Journal of Symbolic Computation (掲載予定)

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Singular and fractional integrals along variable surfaces

    • Author(s)
      D.Fan, Shuichi Sato
    • Journal Title

      Hokkaido Mathematical Journal (掲載予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Weighted L^p Sobolev-Lieb-Thirring inequalities

    • Author(s)
      Kazuya Tachizawa
    • Journal Title

      Proceedings of Japan Academy, Series A, Mathematical Sciences (掲載予定)

    • NAID

      120006459413

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations

    • Author(s)
      H.Kim, Hideo Kozono
    • Journal Title

      Journal of Differential Equations (掲載予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] An L^q-approach to Stokes and Navier-Stokes equations in general domains

    • Author(s)
      R.Farwig, Hideo Kozono, H.Sohr
    • Journal Title

      Acta Mathematica (掲載予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Tangent cone algorithm for homogenized differential operators

    • Author(s)
      M.Granger, T.Oaku, N.Takayama
    • Journal Title

      Journal of Symbolic Computation (掲載予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Singular and fractional integrals along variable surfaces

    • Author(s)
      D.Fan, Shuichi Sato
    • Journal Title

      Hokkaido Mathematical Journal (発表予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A transplantation theorem for the Hankel transform on the Hardy space

    • Author(s)
      Yuichi Kanjin
    • Journal Title

      Tohoku Mathematical Journal (発表予定)

    • NAID

      110001232645

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Tangent cone algorithm for homogenized differential operators

    • Author(s)
      M.Granger, T.Oaku, N.Takayama
    • Journal Title

      Journal of Symbolic Computation (発表予定)

    • Related Report
      2004 Annual Research Report
  • [Book] Harmonic Analysis and its Applications2006

    • Author(s)
      A.Miyachi, E.Nakai, M.Okada(編集)
    • Total Pages
      122
    • Publisher
      横浜図書
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Book] Proceedings of the Harmonic Analysis and its Applications at Sapporo(北海道大学数学講究録#103)2005

    • Author(s)
      A.Miyachi, K.Tachizawa(編集)
    • Total Pages
      105
    • Publisher
      北海道大学理学部数学教室
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Publications] Akihiko Miyachi: "Boundedness of the Cesaro operator in Hardy spaces"Journal of Fourier Analysis and Applications. 10巻1号. 83-92 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akihiko Miyachi: "A transplantation theorem for Jacobi series in weighted Hardy spaces"Advances in Mathematics. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] Kazuya Tachizawa: "A generalization of the Lieb-Thirring inequalities in low dimensions"Hokkaido Mathematical Journal. 32巻. 383-399 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Kazuya Tachizawa: "Wavelets and eigenvalues of Schrodinger operators"Selected Papers on Analysis and Differential Equations. 211巻. 107-120 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Kazuya Tachizawa: "Weighted Sobolev-Lieb-Thirring inequalities"Revista Matematica Iberoamericana. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] Yuichi Kanjin, K.Sato: "Hardy's inequality for Jacobi expansions"Mathematical Inequalities and Applications. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] Kozo Yabuta: "Existence and boundedness of g^*_λ-function and Marcinkiewicz functions on Campanato spaces"Scientiae Mathematicae Japonicae. 59巻1号. 93-112 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Sato: "A note on weighted estimates for certain classes of pseudo-differential operators"Rocky Mountain Journal of Mathematics. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] D.Fan, Shuichi Sato: "Weighted weak type (1,1) estimates for singular integrals and Littlewood-Paley functions"Studia Mathematica. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Granger, Toshinori Oaku: "Minimal filtered free resolutions for analytic D-modules"Journal of Pure and Applied Algebra. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Granger, T.Oaku, N.Takayama: "Tangent cone algorithm for homogenized differential operators"Journal of Symbolic Computation. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Kozono, T.Ogawa, Y.Taniuchi: "Navier-Stokes equations in the Besov space near L^∞ and BMO"Kyushu Journal of Mathematics. 57巻. 303-324 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Kozono, N.Yatsu: "Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations"Mathematische Zeitschrift. 246巻. 55-68 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Kozono, Y.Shimada: "Bilinear estimates in homogenoeous Triebel-Lizorkin spaces and the Navier-Stokes equations"Mathematische Nachrichten. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] Akihiko Miyachi: "Weighted Hardy spaces on a domain and its application"Function Spaces, Differential Operators and Nonlinear Analysis. 117-140 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Akihiko Miyachi: "A transplantation theorem for Jacobi series in weighted Hardy spaces"Advances in Mathematics. (発表予定).

    • Related Report
      2002 Annual Research Report
  • [Publications] 勘甚裕一: "直交関数系の調和解析"数学(日本数学会編集). 55(1). 55-71 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Kazuya Tachizawa: "On the moments of the negative eigenvalues of elliptic operators"Journal of Fourier Analysis and Applications. 8. 233-244 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Kazuya Tachizawa: "A generalization of the Lieb-Thirring inequalities in low dimensions"Hokkaido Mathematical Journal. (発売予定).

    • Related Report
      2002 Annual Research Report
  • [Publications] Shuichi Sato他1名: "Remarks on Littlewood-Paley functions and singular integrals"Journal of Mathematical Society of Japan. 54. 565-585 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Shuichi Sato, Kozo Yabuta: "Multilinearized Littlewood-Paley operators"Scientiae Mathematicae Japonicae. 55. 447-453 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Shuichi Sato: "Some weighted estimates for Littlewood-Paley functions and radial multipliers"Journal of Mathematical Analysis and Applications. 278(2). 308-323 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Kozo Yabuta 他2名: "On commutators of Marcinkiewicz integrals with rough kernel"Journal of Mathematical Analysis and Applications. 275. 60-68 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Toshinori Oaku 他2名: "Algebraic algorithms for D-modules and numerical analysis"Proceedings of Asian Symposium on Computer Mathematics. (発売予定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hideo Kozono 他1名: "Stokes problem for Lipschitz domain"Indiana University Mathematics Journal. 51. 1235-1260 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hideo Kozono 他2名: "The critical Sobolev inequalities in Besov spaces and regularity criterion"Mathematische Zeitschrift. 242. 251-278 (2002)

    • Related Report
      2002 Annual Research Report

URL: 

Published: 2002-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi