Compactness for the commutators of multilinear singular integral operators with non-smooth kernels

被引：9

作者：

Bu Rui ^{[1
]}

Chen Jie-cheng ^{[2
]}

机构：

[1] Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2019年 / 34卷 / 01期

基金：

中国国家自然科学基金;

关键词：

singular integral operator; maximal function; weighted norm inequality; commutator; compact operator; WEIGHTED NORM INEQUALITIES; END-POINT REGULARITY; MAXIMAL OPERATOR; SPACES;

D O I：

10.1007/s11766-019-3501-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered. By some new maximal functions to control the commutators of bilinear singular integral operators and CMO(R-n) functions, compactness for the commutators is proved.

引用

页码：55 / 75

页数：21

共 50 条

[31] WEIGHTED ESTIMATES FOR ITERATED COMMUTATORS OF MULTILINEAR OPERATORS WITH NON-SMOOTH KERNELS
Peng, Xiuxiang
Si, Zengyan
Xue, Qingying
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (02): : 473 - 498
[32] Weighted endpoint estimates for multilinear commutator of singular integral operators with non-smooth kernels
Mingjun Zhang
Yanfeng Guo
[J]. Journal of Inequalities and Applications, 2014
[33] Weighted boundedness for multilinear singular integral operators with non-smooth kernels on Morrey spaces
Zhou Xiaosha
Liu Lanzhe
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2010, 104 (01) : 115 - 127
[34] Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels
LIAN Jiali MA Bolin WU Huoxiong Department of Information and Computing ScienceXiamen University Tan Kah Kee CollegeZhangzhou China College of Mathematics and Information EngineeringJiaxing UniversityJiaxing China School of Mathematical SciencesXiamen UniversityXiamen China
[J]. Applied Mathematics:A Journal of Chinese Universities(Series B), 2011, 26 (03) : 353 - 367
[35] Commutators of weighted lipschitz functions and multilinear singular integrals with non-smooth kernels
Jia-li Lian
Bo-lin Ma
Huo-xiong Wu
[J]. Applied Mathematics-A Journal of Chinese Universities, 2011, 26 : 353 - 367
[36] Multilinear commutators of multilinear strongly singular integral operators with generalized kernels
Yang, Shuhui
Lin, Yan
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (05) : 783 - 801
[37] Commutators of weighted lipschitz functions and multilinear singular integrals with non-smooth kernels
Lian Jia-li
Ma Bo-lin
Wu Huo-xiong
[J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2011, 26 (03) : 353 - 367
[38] Multiple weighted estimates for commutators of multilinear singular integrals with non-smooth kernels
Chen, Songqing
Wu, Huoxiong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (02) : 888 - 903
[39] On commutators of vector BMO functions and multilinear singular integrals with non-smooth kernels
Bui The Anh
Duong, Xuan Thinh
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 371 (01) : 80 - 94
[40] Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels
LIAN Jia-li 1 MA Bo-lin 2 WU Huo-xiong 3 1 Department of Information and Computing Science
[J]. Applied Mathematics:A Journal of Chinese Universities, 2011, (03) : 353 - 367

← 1 2 3 4 5 →