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Weighted estimates for strongly singular integral operators with rough kernels
Authors:Wen-li Huang  Xiang-xing Tao  Sheng-hong Li
Institution:1. Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China
2. Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou 310023, P. Ft. China
Abstract:The Fourier transform and the Littlewood-Paley theory are used to give the weighted boundedness of a strongly singular integral operator defined in this paper. The paper shows that the strongly singular integral operator is bounded from the Sobolev space to the Lebesgue space.
Keywords:strongly singular integral operators  rough kernels  Ap weights
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