Weighted Estimates for the Iterated Commutators of\\ Multilinear Operators with Mild Regularity Kernels
Received:November 03, 2016  Revised:February 27, 2017
Key Word: multilinear operator   weight function   sharp maximal function   commutator   BMO function  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11571160), the Doctoral Research Fund of Mudanjiang Teachers College (Grant No.MNUB201615), Mudanjiang City Scientific and Technological Project (Grant No.Z2016s0028) and Mudanjiang Teachers College Education and Teaching Reform Project (Grant No.16-JG18038).
Author NameAffiliation
Jie SUN Department of Mathematics, Mudanjiang Normal University, Heilongjiang 157011, P. R. China 
Xianliang SHI College of Mathematics and Computer Science, Hunan Normal University, Hunan 410081, P. R. China 
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      In this paper, we study the iterated commutators of BMO functions and multilinear operators kernel of which satisfies some mild regularity condition. Some new properties for the commutator on weighted Lebesgue spaces are established.
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