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机构地区:[1]Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute [2]School of Science, Nantong University
出 处:《Acta Mathematica Sinica,English Series》2013年第3期505-514,共10页数学学报(英文版)
基 金:Supported by National Natural Science Foundation of China (Grant No. 10971228)
摘 要:In this paper, by a sharp function estimate and an idea of Lerner, the authors establish some weighted estimates for the m-multilinear integral operator which is bounded from L1 (Rn) ×..…… L1 (Rn) to L1/m,∞(Rn), and the associated kernel K(x; yl,.. , Ym) enjoys a regularity on the variable x. As an application, weighted estimates with general weights are given for the commutator of CalderSn.In this paper, by a sharp function estimate and an idea of Lerner, the authors establish some weighted estimates for the m-multilinear integral operator which is bounded from L1 (Rn) ×..…… L1 (Rn) to L1/m,∞(Rn), and the associated kernel K(x; yl,.. , Ym) enjoys a regularity on the variable x. As an application, weighted estimates with general weights are given for the commutator of CalderSn.
关 键 词:Approximation to the identity weighted norm inequality singular integral operator max-imal operator non-smooth kernel
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