Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces

被引：0
|
作者：
Jia-wei Shen
Shao-yong He
Jie-cheng Chen
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Huzhou University,Department of Mathematics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2023年 / 38卷
关键词：
parametric Marcinkiewicz integrals; rough kernels; mixed homogeneity; product spaces; 42B20; 42B25; 47B38;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the multiple parametric Marcinkiewicz integral operators with mixed homogeneity along surfaces are studied. The Lp-mapping properties for such operators are obtained under the rather weakened size conditions on the integral kernels both on the unit sphere and in the radial direction. The main results essentially improve and extend certain previous results.
引用
收藏
页码：413 / 428
页数：15
相关论文
共 50 条
  • [1] Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces
    Shen, Jia-wei
    He, Shao-yong
    Chen, Jie-cheng
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2023, 38 (03) : 413 - 428
  • [2] Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces
    SHEN Jia-wei
    HE Shao-yong
    CHEN Jie-cheng
    Applied Mathematics:A Journal of Chinese Universities, 2023, 38 (03) : 413 - 428
  • [3] Multiple singular integrals and Marcinkiewicz integrals with mixed homogeneity along surfaces
    Liu, Feng
    Wu, Huoxiong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [4] Multiple singular integrals and Marcinkiewicz integrals with mixed homogeneity along surfaces
    Feng Liu
    Huoxiong Wu
    Journal of Inequalities and Applications, 2012
  • [5] Boundedness of Marcinkiewicz integrals with mixed homogeneity along compound surfaces
    Zhang, Daiqing
    Liu, Feng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [6] Boundedness of Marcinkiewicz integrals with mixed homogeneity along compound surfaces
    Daiqing Zhang
    Feng Liu
    Journal of Inequalities and Applications, 2014
  • [7] Lp BOUNDS FOR PARAMETRIC MARCINKIEWICZ INTEGRALS WITH MIXED HOMOGENEITY
    Liu, Feng
    Wu, Huoxiong
    Zhang, Daiqing
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 453 - 469
  • [8] MULTIPLE SINGULAR INTEGRALS AND MAXIMAL OPERATORS WITH MIXED HOMOGENEITY ALONG COMPOUND SURFACES
    Liu, Feng
    Zhang, Daiqing
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (02): : 499 - 522
  • [9] On Rough Marcinkiewicz Integrals along Surfaces
    Huo Xiong WU Jian Kai XU School of Mathematical Sciences
    ActaMathematicaSinica(EnglishSeries), 2010, 26 (04) : 717 - 730
  • [10] On rough Marcinkiewicz integrals along surfaces
    Wu, Huo Xiong
    Xu, Jian Kai
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (04) : 717 - 730
12345