L  p estimates for singular Radon transforms with rough kernels

Zhenqiu Zhang; Meifang Cheng

doi:10.1007/s11401-007-0061-y

Chinese Annals of Mathematics, Series B ›› 2008, Vol. 29 ›› Issue (2) : 155 -164. DOI: 10.1007/s11401-007-0061-y

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L ^p estimates for singular Radon transforms with rough kernels

Zhenqiu Zhang ¹^,^a
, Meifang Cheng ¹

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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

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Zhenqiu Zhang, Meifang Cheng. L ^p estimates for singular Radon transforms with rough kernels. Chinese Annals of Mathematics, Series B, 2008, 29(2): 155-164 DOI:10.1007/s11401-007-0061-y

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