Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels

被引:2
|
作者
Tao, Xiangxing [1 ]
Yu, Xiao [1 ,2 ]
Zhang, Songyan [1 ]
机构
[1] Ningbo Univ, Fac Sci, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
[2] Zhejiang Univ, Fac Sci, Dept Math, Hangzhou 315211, Zhejiang, Peoples R China
关键词
D O I
10.1155/2008/835938
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence and boundedness on Sobolev spaces and Hardy-Sobolev spaces for the hypersingular Marcinkiewicz integrals with variable kernels are derived.
引用
收藏
页数:17
相关论文
共 50 条
  • [31] On uniform boundedness of dyadic averaging operators in spaces of Hardy-Sobolev type
    Garrigs, G.
    Seeger, A.
    Ullrich, T.
    ANALYSIS MATHEMATICA, 2017, 43 (02) : 267 - 278
  • [32] On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces
    Meskhi, Alexander
    Rafeiro, Humberto
    Zaighum, Muhammad Asad
    GEORGIAN MATHEMATICAL JOURNAL, 2019, 26 (01) : 105 - 116
  • [33] On multipliers for Hardy-Sobolev spaces
    Beatrous, Frank
    Burbea, Jacob
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (06) : 2125 - 2133
  • [34] Hardy-Sobolev spaces and their multipliers
    Cao GuangFu
    He Li
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (11) : 2361 - 2368
  • [35] Hardy-Sobolev spaces and their multipliers
    GuangFu Cao
    Li He
    Science China Mathematics, 2014, 57 : 2361 - 2368
  • [36] Multipliers in Hardy-Sobolev Spaces
    Joaquín M. Ortega
    Joan Fàbrega
    Integral Equations and Operator Theory, 2006, 55 : 535 - 560
  • [37] Multipliers in Hardy-Sobolev spaces
    Ortega, Joaquin M.
    Fabrega, Joan
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 55 (04) : 535 - 560
  • [38] Hardy-Sobolev spaces and their multipliers
    CAO GuangFu
    HE Li
    Science China(Mathematics), 2014, 57 (11) : 2361 - 2368
  • [39] Boundedness of Integral Operators on Hardy-Sobolev Space
    He, Li
    Li, Yifang
    Zhang, Shuqing
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2025, 19 (03)
  • [40] BOUNDEDNESS OF COMMUTATORS FOR MARCINKIEWICZ INTEGRALS ON WEIGHTED HERZ-TYPE HARDY SPACES
    Cuilan Wu (Xuzhou Normal University
    AnalysisinTheoryandApplications, 2011, 27 (04) : 365 - 376