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

被引：4
|
作者：
Zhang Chun-jie [1 ]
Zhang Yan-dan [2 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China
[2] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Zhejiang, Peoples R China
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; L-P BOUNDS; OPERATORS; TRANSFORM;
D O I：
10.1007/s11766-013-3033-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will prove the Triebel-Lizorkin boundedness for some oscillatory singular integrals with the kernel Omega(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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