L^p Estimates for Singular Radon Transforms with Rough Kernels

Citation:

Zhenqiu ZHANG,Meifang CHENG.L^p Estimates for Singular Radon Transforms with Rough Kernels[J].Chinese Annals of Mathematics B,2008,29(2):155~164
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Authors:

Zhenqiu ZHANG; Meifang CHENG

Foundation:

National Natural Science Fundation of China (Nos. 10371087, 10671041).
Abstract: The purpose of this paper is to study the mapping properties of the singular Radon transforms with rough kernels. Such singular integral operators are proved to be bounded on Lebesgue spaces.

Keywords:

Singular Radon transform, Rough kernel, Dyadic decomposition

Classification:

42B20, 42B25
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