On multiple singular integrals along polynomial curves with rough kernels

被引：0
作者：
Huo Xiong Wu
Shan Zhi Yang
机构：
[1] Xiamen University,School of Mathematical Sciences
来源：
Acta Mathematica Sinica, English Series | 2008年 / 24卷
关键词：
singular integral; product domain; rough kernel; Littlewood-Paley theory; Fourier transform estimate; 42B20; 42B15; 42B25;
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摘要：
This paper is devoted to the study of a class of singular integral operators defined by polynomial mappings on product domains. Some rather weak size conditions, which imply the Lp boundedness of these singular integral operators as well as the corresponding maximal truncated singular integral operators for some fixed 1 < p < ∞, are given.
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页码：177 / 184
页数：7
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