Multiple Weighted Estimates for Commutators of Multilinear Maximal Function  

作　　者：Pu ZHANG 

机构地区：[1]Department of Mathematics, Mudanjiang Normal University

出　　处：《Acta Mathematica Sinica,English Series》2015年第6期973-994,共22页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11271162);the Scientific Research Fund of Heilongjiang Provincial Education Department(Grant No.12531720);the Scientific Research Fund of Mudanjiang Normal University(Grant No.GY201305)

摘　　要：Let M be the multilinear maximal function and = （b1, . . . , bm） be a collection of locally integrable functions. Denote by M and [,M] the maximal commutator and the commutator of M with , respectively. In this paper, the multiple weighted strong and weak type estimates for operators M and [,M] are studied. Some characterizations of the class of functions bj are given, for which these operators satisfy some strong or weak type estimates.Let M be the multilinear maximal function and = （b1, . . . , bm） be a collection of locally integrable functions. Denote by M and [,M] the maximal commutator and the commutator of M with , respectively. In this paper, the multiple weighted strong and weak type estimates for operators M and [,M] are studied. Some characterizations of the class of functions bj are given, for which these operators satisfy some strong or weak type estimates.

关 键 词：Multilinear maximal function multiple weights COMMUTATOR BMO 

分 类 号：O174[理学—数学]