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《Journal of Anhui Normal University(Natural Science)》 2018-02
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Weighted Boundedness Estimates for Commutators of Singular Integrals with Non-smooth Kernel

WU Cui-lan;WANG Yun-jie;SHU Li-sheng;School of Mathematics and Statistics,Jiangsu Normal University;Kewen Institute,Jiangsu Normal University;School of Mathematics and Statistics,Anhui Normal University;  
This paper is concerned with the pointwise estimates for the sharp maximal function of the commutator [b,T]generated by the singular integral operator T with non-smooth kernels Tf( x) = ∫_(R~n)K( x,y) f( y) dyand a Lip_(β,v) function b,it is shown that the commutator [b,T]is bounded from L~p(v) to L~q(v~(1-q)),where b ∈ Lip_(β,v),v ∈A_1,1/q=1/p-β/n,0 β 1,1 p q ∞,some known results are improved.
【Fund】: 国家青年基金项目(11501262)
【CateGory Index】: O177.6
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