The boundedness for commutators of maximal hypersingular integrals with rough kernels

被引：1
|
作者：
Chen YanPing [1 ]
Ding Yong [2 ,3 ]
Li Ran [2 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[3] Minist Educ, Lab Math & Complex Syst BNU, Beijing 100875, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2013年 / 56卷 / 04期
基金：
中国国家自然科学基金;
关键词：
commutator; maximal hypersingular integrals; rough kernel; BMO; sobolev space; DISTRIBUTION SPACES; OPERATORS; TRANSFORM;
D O I：
10.1007/s11425-012-4459-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that the commutators of maximal hypersingular integrals with rough kernels are bounded from the Sobolev space to the Lebesgue space L (p) (a"e (n) ), which is a substantial improvement and an extension of some known results.
引用
收藏
页码：707 / 728
页数：22
相关论文
共 50 条
  • [21] On the Commutators of Marcinkiewicz Integrals with Rough Kernels in Weighted Lebesgue Spaces
    Y.-M. Wen
    H.-X. Wu
    Analysis Mathematica, 2020, 46 : 619 - 638
  • [22] Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels
    Tao, Xiangxing
    Yu, Xiao
    Zhang, Songyan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
  • [23] Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels
    Xiangxing Tao
    Xiao Yu
    Songyan Zhang
    Journal of Inequalities and Applications, 2008
  • [24] Boundedness of Multilinear Commutators with Rough Kernels on Morrey-Herz Spaces
    Qiaoni Li
    Shuangping Tao
    Analysis in Theory and Applications, 2013, 29 (03) : 289 - 307
  • [25] Lp bounds for singular integrals and maximal singular integrals with rough kernels
    Grafakos, L
    Stefanov, A
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1998, 47 (02) : 455 - 469
  • [26] Vector-valued inequalities for the commutators of fractional integrals with rough kernels
    Chen, Yanping
    Wu, Xinfeng
    Liu, Honghai
    STUDIA MATHEMATICA, 2014, 222 (02) : 97 - 122
  • [27] VECTOR-VALUED INEQUALITIES FOR THE COMMUTATORS OF SINGULAR INTEGRALS WITH ROUGH KERNELS
    Tang, Lin
    Wu, Huoxiong
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (04) : 703 - 725
  • [28] Lp boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels
    Chen, Dongxiang
    Lu, Shanzhen
    MATHEMATISCHE NACHRICHTEN, 2011, 284 (8-9) : 973 - 986
  • [29] Rough Bilinear Hypersingular Integrals
    Cui, Yige
    Liu, Honghai
    Si, Zengyan
    Wang, Hanbin
    POTENTIAL ANALYSIS, 2023, 59 (04) : 1547 - 1569
  • [30] Rough Bilinear Hypersingular Integrals
    Yige Cui
    Honghai Liu
    Zengyan Si
    Hanbin Wang
    Potential Analysis, 2023, 59 : 1547 - 1569
12345