On multiple singular integrals along polynomial curves with rough kernels

被引:0
作者
Huo Xiong Wu
Shan Zhi Yang
机构
[1] Xiamen University,School of Mathematical Sciences
来源
Acta Mathematica Sinica, English Series | 2008年 / 24卷
关键词
singular integral; product domain; rough kernel; Littlewood-Paley theory; Fourier transform estimate; 42B20; 42B15; 42B25;
D O I
暂无
中图分类号
学科分类号
摘要
This paper is devoted to the study of a class of singular integral operators defined by polynomial mappings on product domains. Some rather weak size conditions, which imply the Lp boundedness of these singular integral operators as well as the corresponding maximal truncated singular integral operators for some fixed 1 < p < ∞, are given.
引用
收藏
页码:177 / 184
页数:7
相关论文
共 50 条
  • [31] Rough Singular Integral Operators along Submanifolds
    Liu, Feng
    ANALYSIS IN THEORY AND APPLICATIONS, 2023, 39 (03): : 201 - 243
  • [32] Vector-valued inequalities for the commutators of rough singular kernels
    Yanping Chen
    Yong Ding
    Journal of Inequalities and Applications, 2014
  • [33] Vector-valued inequalities for the commutators of rough singular kernels
    Chen, Yanping
    Ding, Yong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [34] Vector-valued singular integral operators with rough kernels
    Lai, Xudong
    MATHEMATISCHE NACHRICHTEN, 2023, 296 (06) : 2417 - 2439
  • [35] On rough Marcinkiewicz integrals along surfaces
    Huo Xiong Wu
    Jian Kai Xu
    Acta Mathematica Sinica, English Series, 2010, 26 : 717 - 730
  • [36] WEIGHTED ESTIMATES FOR ROUGH SINGULAR INTEGRALS WITH APPLICATIONS TO ANGULAR INTEGRABILITY
    Liu, Feng
    Fan, Dashan
    PACIFIC JOURNAL OF MATHEMATICS, 2019, 301 (01) : 267 - 295
  • [37] On rough Marcinkiewicz integrals along surfaces
    Wu, Huo Xiong
    Xu, Jian Kai
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (04) : 717 - 730
  • [38] On Rough Marcinkiewicz Integrals along Surfaces
    Huo Xiong WU Jian Kai XU School of Mathematical Sciences
    ActaMathematicaSinica(EnglishSeries), 2010, 26 (04) : 717 - 730
  • [39] The boundedness for commutators of maximal hypersingular integrals with rough kernels
    Chen YanPing
    Ding Yong
    Li Ran
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (04) : 707 - 728
  • [40] The boundedness for commutators of maximal hypersingular integrals with rough kernels
    CHEN YanPing
    DING Yong
    LI Ran
    Science China(Mathematics), 2013, 56 (04) : 707 - 728