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
[41]   A two weight inequality for Calderon-Zygmund operators on spaces of homogeneous type with applications [J].
Duong, Xuan Thinh ;
Li, Ji ;
Sawyer, Eric T. ;
Vempati, Manasa N. ;
Wick, Brett D. ;
Yang, Dongyong .
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 281 (09)
[42]   Weighted boundedness for Toeplitz type operator associated to singular integral operator with variable Calderon-Zygmund kernel [J].
Chen, Dazhao .
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 48 (03) :657-668
[43]   Logarithmic bump conditions and the two-weight boundedness of Calderon-Zygmund operators [J].
Cruz-Uribe, David ;
Reznikov, Alexander ;
Volberg, Alexander .
ADVANCES IN MATHEMATICS, 2014, 255 :706-729
[44]   LIPSCHITZ ESTIMATES FOR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS ON WEIGHTED HERZ SPACES [J].
Lin, Yan ;
Liu, Zongguang ;
Song, Mingming .
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 3 (01) :53-64
[45]   Calderon-Zygmund operators in the Bessel setting for all possible type indices [J].
Castro, Alejandro J. ;
Szarek, Tomasz Z. .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (04) :637-648
[46]   Boundedness of Multilinear Calderon-Zygmund Operators on Grand Variable Herz Spaces [J].
Nafis, Hammad ;
Rafeiro, Humberto ;
Zaighum, Muhammad Asad .
JOURNAL OF FUNCTION SPACES, 2022, 2022
[47]   Continuity of Calderon-Zygmund operators on Besov or Triebel-Lizorkin spaces [J].
Meyer, Y. ;
Yang, Q. X. .
ANALYSIS AND APPLICATIONS, 2008, 6 (01) :51-81
[48]   WEIGHTED COMPACTNESS FOR CALDERON TYPE COMMUTATORS AND OSCILLATORY OPERATORS [J].
Hou, Xianming ;
Wu, Huoxiong .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (05) :1661-1681
[49]   Quantitative weighted estimates for generalized commutators of multilinear Calderón-Zygmund operators with the kernels of Dini type [J].
Li, Yuru ;
Tan, Jiawei ;
Xue, Qingying .
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 18 (03)
[50]   BILINEAR CALDERON-ZYGMUND OPERATORS ON TWO WEIGHT HERZ SPACES WITH VARIABLE EXPONENTS [J].
Wang, Shengrong ;
Xu, Jingshi .
OPERATORS AND MATRICES, 2021, 15 (03) :937-958
12345