Weighted estimates for strongly singular integral operators with rough kernels

被引：0
|
作者：
Wen-li Huang
Xiang-xing Tao
Sheng-hong Li
机构：
[1] Zhejiang University,Department of Mathematics
[2] Zhejiang University of Science and Technology,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2010年 / 31卷
关键词：
strongly singular integral operators; rough kernels; weights; O174.3; 42B25; 42B30;
D O I：
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学科分类号：
摘要：
The Fourier transform and the Littlewood-Paley theory are used to give the weighted boundedness of a strongly singular integral operator defined in this paper. The paper shows that the strongly singular integral operator is bounded from the Sobolev space to the Lebesgue space.
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页码：761 / 768
页数：7
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