Lp bounds for singular integrals with rough kernels on product domains

被引：3
|
作者：
Ma, Li [3 ]
Fan, Da Shan [2 ]
Wu, Huo Xiong [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Univ Wisconsin, Dept Math, Milwaukee, WI 53201 USA
[3] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Singular integral; rough kernel; product domain; Littlewood-Paley theory; Fourier transform estimate; OPERATORS; SPACES;
D O I：
10.1007/s10114-012-9368-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L (p) -boundedness of such operators for certain fixed p (1 < p < a), are given.
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页码：133 / 144
页数：12
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