Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures

被引：0
|
作者：
Yanlong Shi
Xiangxing Tao
Taotao Zheng
机构：
[1] Zhejiang Pharmaceutical College,Department of Fundamental Courses
[2] Zhejiang University of Science & Technology,Department of Mathematics
[3] Ningbo University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2010卷
关键词：
Euclidean Space; Function Space; Similar Argument; Lebesgue Measure; Potential Operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The authors consider the multilinear Riesz potential operator defined by [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] denotes the [inline-graphic not available: see fulltext]-tuple [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] the nonnegative integers with [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] is a nonnegative [inline-graphic not available: see fulltext]-dimensional Borel measure. In this paper, the boundedness for the operator [inline-graphic not available: see fulltext] on the product of homogeneous Morrey-Herz spaces in nonhomogeneous setting is found.
引用
收藏
相关论文
共 50 条
  • [1] Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures
    Shi, Yanlong
    Tao, Xiangxing
    Zheng, Taotao
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [2] Boundedness for Multilinear Commutators of Marcinkiewicz Integral on Morrey-Herz Spaces with Non Doubling Measures
    Jianglong Wu
    Qingguo Liu
    [J]. Analysis in Theory and Applications, 2013, 29 (01) : 62 - 71
  • [3] Morrey Spaces for Non-doubling Measures
    Yoshihiro SAWANO Hitoshi TANAKA Graduate School of Mathematical Sciences.The University of Tokyo
    [J]. Acta Mathematica Sinica,English Series, 2005, 21 (06) : 1535 - 1544
  • [4] Morrey spaces for non-doubling measures
    Sawano, Y
    Tanaka, H
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (06) : 1535 - 1544
  • [5] Multilinear commutators of fractional integrals over Morrey spaces with non-doubling measures
    Tao, Xiangxing
    Zheng, Taotao
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (03): : 287 - 308
  • [6] Multilinear commutators of fractional integrals over Morrey spaces with non-doubling measures
    Xiangxing Tao
    Taotao Zheng
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2011, 18 : 287 - 308
  • [7] Generalized Morrey Spaces for Non-doubling Measures
    Yoshihiro Sawano
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2008, 15 : 413 - 425
  • [8] Generalized Morrey Spaces for Non-doubling Measures
    Sawano, Yoshihiro
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2008, 15 (4-5): : 413 - 425
  • [9] Multi-Morrey spaces for non-doubling measures
    Suixin He
    [J]. Czechoslovak Mathematical Journal, 2019, 69 : 1039 - 1052
  • [10] Compact commutators on Morrey spaces with non-doubling measures
    Sawano, Yoshihiro
    Shirai, Satoru
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (02) : 353 - 376
12345