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Lipschitz Estimates for Commutator of Fractional Integral on Spaces of Homogeneous Type

DENG Yan-yi(Changsha Environmental Protection College,Changsha 410004,China)  
Let T be Caldero′n-Zygmund operator on Rn.It is well known that the boundedness of the commutator related to T and has been widely studied by many authors.The purpose of this paper is extent to more general space of homogeneous type.Let(X,d,μ)be space of homogeneous type.In this paper,we will study the continuity of the commutator generated by the fractional integral operator and the function b on Hardy space and Herz-Hardy space on the spaces of homogeneous type,where the function b belongs to Lipschiz space.
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