Zhao Kai. Some Bounded Results of θ(t)-Type Singular Integral Operators[J]. Applied Mathematics and Mechanics, 2000, 21(5): 516-522.
Citation: Zhao Kai. Some Bounded Results of θ(t)-Type Singular Integral Operators[J]. Applied Mathematics and Mechanics, 2000, 21(5): 516-522.

Some Bounded Results of θ(t)-Type Singular Integral Operators

  • Received Date: 1998-09-03
  • Rev Recd Date: 1999-12-07
  • Publish Date: 2000-05-15
  • Let B be a Banach space in UMD with an unconditional basis. The boundedness of the θ(t) -type singular integral operators in LBp(Rn), (1≤p<+∞) and HB1(Rn) spaces are discussed.
  • loading
  • [1]
    Bourgain J.Extension of a result of Benedek,Calderón and Panzone[J].Ark for Mat,1984,22(1):91~95.
    [2]
    韦旦.一类奇异积分算子在Banach空间值Hardy空间上的有界性[J].数学物理学报,1997,17(2):235~240.
    [3]
    赵凯.On generalized Calderón-Zygmund operators[J].数学研究与评论,1995,15(2):211~215.
    [4]
    José L,Rubio de Francia.Fourier series and Hilbert transforms with values in UMD Banach spaces[J].Studia Math,1985,81(1):95~105.
    [5]
    彭立中.广义Caldern-Zygmund算子及其加权模不等式[J].数学进展,1985,14(2):97~115.
    [6]
    邓东皋,韩永生.Hp空间论[M].北京:北京大学出版社,1992.
    [7]
    赵凯.向量值函数的奇异积分算子[J].青岛大学学报(自然),1992,5(1):41~49.
    [8]
    Stein E M.Singular Integrals and Differentiability Properties of Functions[M].Princeton N J:Princeton University Press,1970.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2447) PDF downloads(614) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return