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

作     者：ZHANG Chun-jie ZHANG Yan-dan 

作者机构：School of Science Hangzhou Dianzi University Department of Mathematics Zhejiang University of Science & Technology 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2013年第28卷第1期

页      面：90-100页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China (11026104  11201103  11226108) 

主　　题：Oscillatory singular integral Triebel-Lizorkin space rough kernel phase function. 

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.