Multilinear commutators of BMO functions and multilinear singular integrals with non-smooth kernels  

作　　者：LIAN Jia-li LI Ji WU Huo-xiong 

机构地区：[1]Department of Mathematics and Computer Science, Wuyi University, Wuyi 354300, China [2]Department of Mathematics, Zhongshan University, Guangzhou 510275, China [3]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第1期109-120,共12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, 10771221, 11071200);the Youth Foundation of Wuyi University (No. xq0930)

摘　　要：This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequalities for this kind of commutators are established.This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequalities for this kind of commutators are established.

关 键 词：Multilineav operator COMMUTATOR non-smooth kernel sharp maximal function weighted norminequality. 

分 类 号：O175.5[理学—数学] TM33[理学—基础数学]