Boundedness of oscillatory singular integral with rough kernels on Triebel-Lizorkin spaces

被引：0
|
作者：
ZHANG Chun-jie [1 ]
ZHANG Yan-dan [2 ]
机构：
[1] School of Science, Hangzhou Dianzi University
[2] Department of Mathematics, Zhejiang University of Science & Technology
来源：
Applied Mathematics:A Journal of Chinese Universities(Series B) | 2013年 / 28卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Oscillatory singular integral; Triebel-Lizorkin space; rough kernel; phase function;
D O I：
暂无
中图分类号：
O172.2 [积分学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we will prove the Triebel-Lizorkin boundedness for some oscillatory singular integrals with the kernel (x) satisfying a condition introduced by Grafakos and Stefanov. Our theorems will be proved under various conditions on the phase function, radial and nonradial. Since the L p boundedness of these operators is not complete yet, the theorems extend many known results.
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页码：90 / 100
页数：11
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