Boundedness of rough oscillatory singular integral on Triebel-Lizorkin spaces

被引：12

作者：

Chen, JC ^{[1
]}

Jia, HY ^{[1
]}

Jiang, LY ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Dept Math, Hangzhou 310028, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 306卷 / 02期

基金：

中国国家自然科学基金;

关键词：

oscillatory singular integral; rough kernel; Triebel-Lizorkin spaces;

D O I：

10.1016/j.jmaa.2005.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give the boundedness on Triebel-Lizorkin spaces for oscillatory singular integral operators with polynomial phases and rough kernels of the form e(iP(x))Omega(x)vertical bar x vertical bar(-n), where Omega epsilon L log(+) L(Sn-1) is homogeneous of degree zero and satisfies certain cancellation condition. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：385 / 397

页数：13

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