Commutators of weighted lipschitz functions and multilinear singular integrals with non-smooth kernels

被引：3

作者：

Lian Jia-li ^{[1
]}

Ma Bo-lin ^{[2
]}

Wu Huo-xiong ^{[3
]}

机构：

[1] Xiamen Univ, Tan Kah Kee Coll, Dept Informat & Comp Sci, Zhangzhou 363105, Peoples R China

[2] Jiaxing Univ, Coll Math & Informat Engn, Jiaxing 314001, Peoples R China

[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2011年 / 26卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Commutator; multilinear singular integral; non-smooth kernel; weighted Lipschitz function; weights; NORM INEQUALITIES; MAXIMAL OPERATOR; BMO FUNCTIONS;

D O I：

10.1007/s11766-011-2784-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions. Some mapping properties for two types of commutators on the weighted Lebesgue spaces, which extend and generalize some previous results, are obtained.

引用

页码：353 / 367

页数：15

共 50 条

[1] 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]. AppliedMathematics:AJournalofChineseUniversities(SeriesB)., 2011, 26 (03) - 367
[2] 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
[3] 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
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