Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels  

作　　者：LIAN Jia-li MA Bo-lin WU Huo-xiong 

机构地区：[1]Department of Information and Computing Science, Xiamen University Tan Kah Kee College,Zhangzhou 363105, China [2]College of Mathematics and Information Engineering, Jiaxing University, Jiaxing 314001, China [3]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第3期353-367,共15页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10771054,11071200);the NFS of Fujian Province of China (No. 2010J01013)

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.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.

关 键 词：COMMUTATOR multilinear singular integral non-smooth kernel weighted Lipschitz function weights. 

分 类 号：O174.13[理学—数学] O175.5[理学—基础数学]