Weighted Estimates for Commutators of Strongly Singular Calderon-Zygmund Operators

被引：8
|
作者：
Lin, Yan [1 ]
Zhang, Guo Ming [1 ]
机构：
[1] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Strongly singular Calderon-Zygmund operator; weighted BMO function; weighted Lipschitz function; NORM INEQUALITIES; BESOV-SPACES; INTEGRALS;
D O I：
10.1007/s10114-016-6154-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors establish the boundedness of commutators generated by strongly singular Caldern-Zygmund operators and weighted BMO functions on weighted Herz-type Hardy spaces. Moreover, the corresponding results for commutators generated by strongly singular Caldern-Zygmund operators and weighted Lipschitz functions can also be obtained.
引用
收藏
页码：1297 / 1311
页数：15
相关论文
共 50 条
  • [1] STRONGLY SINGULAR CALDERON-ZYGMUND OPERATORS AND THEIR COMMUTATORS
    Lin, Yan
    Lu, Shanzhen
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2008, 1 (01): : 31 - 49
  • [2] Strongly singular Calderon-Zygmund operators and commutators on weighted Morrey spaces
    Lin, Yan
    Sun, Guofeng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [3] A note on commutators of strongly singular Calderon-Zygmund operators
    Zhang, Pu
    Zhu, Xiaomeng
    OPEN MATHEMATICS, 2022, 20 (01): : 1057 - 1065
  • [4] On pointwise and weighted estimates for commutators of Calderon-Zygmund operators
    Lerner, Andrei K.
    Ombrosi, Sheldy
    Rivera-Rios, Israel P.
    ADVANCES IN MATHEMATICS, 2017, 319 : 153 - 181
  • [5] Weighted estimates for commutators of anisotropic Calderon-Zygmund operators
    Li, Jinxia
    He, Jianxun
    APPLICABLE ANALYSIS, 2022, 101 (04) : 1299 - 1314
  • [6] WEIGHTED ENDPOINT ESTIMATES FOR COMMUTATORS OF CALDERON-ZYGMUND OPERATORS
    Liang, Yiyu
    Luong Dang Ky
    Yang, Dachun
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (12) : 5171 - 5181
  • [7] Weighted Hardy Space Estimates for Commutators of Calderon-Zygmund Operators
    Duong Quoc Huy
    Luong Dang Ky
    VIETNAM JOURNAL OF MATHEMATICS, 2021, 49 (04) : 1065 - 1077
  • [8] Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderon-Zygmund operators and applications
    Lin, Yan
    Lu, Guozhen
    Lu, Shanzhen
    FORUM MATHEMATICUM, 2019, 31 (01) : 1 - 18
  • [9] MULTILINEAR STRONGLY SINGULAR CALDERON-ZYGMUND OPERATORS AND COMMUTATORS ON MORREY TYPE SPACES
    Lin, Yan
    Yan, Huihui
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (02): : 351 - 375
  • [10] On weighted compactness of commutators of bilinear maximal Calderon-Zygmund singular integral operators
    Wang, Shifen
    Xue, Qingying
    FORUM MATHEMATICUM, 2022, 34 (02) : 307 - 322
12345