Weighted L^p Estimates for Maximal Commutators of Multilinear Singular Integrals  

Weighted L^p Estimates for Maximal Commutators of Multilinear Singular Integrals

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作  者:Dongxiang CHEN Jiecheng CHEN Suzhen MAO 

机构地区:[1]Department of Mathematics,Jiangxi Normal University [2]Department of Mathematics,Zhejiang Normal University

出  处:《Chinese Annals of Mathematics,Series B》2013年第6期885-902,共18页数学年刊(B辑英文版)

基  金:supported by the National Natural Science Foundation of China(Nos.10961015,11261023);the Jiangxi Natural Science Foundation of China(No.20122BAB201011);the Fund of Jiangxi Provincial Department of Education(Nos.GJJ10397,GJJ12203)

摘  要:This paper is concerned with the pointwise estimates for the sharp function of two kinds of maximal commutators of multilinear singular integral operators T∑b^* and TПb^* which are generalized by a weighted BMO function b and a multilinear singular integral operator T, respectively. As applications, some commutator theorems are established.

关 键 词:Weighted BMO space Maximal commutator Multilinear singular integral Sharp maximal function 

分 类 号:O177[理学—数学]

 

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