Boundedness of singular integrals along surfaces on Lebesgue spaces

被引：3
作者：
Zhang Yan-dan [1 ]
Chen Jie-cheng [2 ]
Zhang Chun-jie [3 ]
机构：
[1] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Zhejiang, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[3] Hangzhou Dianzi Univ, Coll Sci, Hangzhou 310018, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2010年 / 25卷 / 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; L-P BOUNDS; ROUGH KERNELS; REVOLUTION; OPERATORS;
D O I：
10.1007/s11766-010-2143-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, we establish the L (p) (a"e (n+1))-boundedness for a class of singular integral operators associated to surfaces of revolution "(y, gamma (|y|), y a a"e (n) " with rough kernels. We also give several applications of this inequality.
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页码：192 / 198
页数：7
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