The Boundedness of Maximal Operators and Singular Integrals via Fourier Transform Estimates

作     者：Hong Hai LIU 

作者机构：School of Mathematics and Information ScienceHe'nan Polytechnic University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2012年第28卷第11期

页      面：2227-2242页

核心收录：

学科分类：07[理学] 08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20090003110018) 

主　　题：Maximal operators singular integrals Triebel-Lizorkin spaces vector-valued inequality 

摘      要：In this paper, the author studies the mapping properties for some general maximal op- erators and singular integrals on certain function spaces via Fourier transform estimates. Also, some concrete maximal operators and singular integrals are studied as applications.