Singular integral operators on product Triebel-Lizorkin spaces

被引：4
|
作者：
Chen JieCheng [1 ]
Wang Hui [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 02期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
singular integral operator; Triebel-Lizorkin space; product spaces; BOUNDEDNESS;
D O I：
10.1007/s11425-009-0077-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the rough singular integral operators on product Triebel-Lizorkin spaces and prove certain boundedness properties on the Triebel-Lizorkin spaces. We also use the same method to study the fractional integral operator and the Littlewood-Paley functions. The results extend some known results.
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页码：335 / 346
页数：12
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