Boundedness of singular integrals along surfaces on Lebesgue spaces

被引：0

作者：

ZHANG Yan-dan1 CHEN Jie-cheng2 ZHANG Chun-jie31 Department of Mathematics

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2010年 / 02期

基金：

中国国家自然科学基金;

关键词：

Singular integrals; surfaces; rough kernels; Plancherel’s theorem; oscillatory singular integrals;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In the paper, we establish the Lp(Rn+1)-boundedness for a class of singular integral operators associated to surfaces of revolution {(y,γ(|y|),y ∈ Rn} with rough kernels. We also give several applications of this inequality.

引用

页码：192 / 198

页数：7

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[1] Boundedness of singular integrals along surfaces on Lebesgue spaces
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[2] Boundedness of singular integrals along surfaces on Lebesgue spaces
ZHANG Yandan CHEN Jiecheng ZHANG Chunjie Department of Mathematics Zhejiang University of Technology Hangzhou China Department of Mathematics Zhejiang University Hangzhou China College of Science Hangzhou Dianzi University Hangzhou China
[J]. Applied Mathematics:A Journal of Chinese Universities(Series B), 2010, 25 (02) : 192 - 198
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