Higher order commutators for a class of rough operators |
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Authors: | Yong Ding Shanzhen Lu |
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Affiliation: | (1) Department of Mathematics, Beijing Normal University, 100875 Beijing, P. R. of China |
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Abstract: | In this paper we study the (L p (u p ),L q (v q )) boundedness of the higher order commutatorsT Ω,α,b m andM Ω,α,b m formed by the fractional integral operatorT Ω,α , the fractional maximal operatorM Ω,α , and a functionb(x) in BMO(v), respectively. Our results imporve and extend the corresponding results obtained by Segovia and Torrea in 1993 [9]. The project was supported by NNSF of China. |
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