Littlewood-Paley operators with variable kernels

作     者：CHEN Jiecheng, DING Yong & FAN Dashan Department of Mathematics, Zhejiang University (Xixi Campus), Hangzhou 310028, China School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee WI 53201, USA Department of Mathematics, Central China Normal University, Wuhan 430074, China 

作者机构：Department of Mathematics Zhejiang University (Xixi Campus) Hangzhou China School of Mathematical Sciences Beijing Normal University Beijing China Department of Mathematics University of Wisconsin-Milwaukee Milwaukee USA Department of Mathematics Central China Normal University Wuhan China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2006年第49卷第5期

页      面：639-650页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the fund of the 973 Project,the National Natural Science Foundation of China(Grant Nos.10571156,10571015&10371043) Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20050027025) 

主　　题：directional Hilbert transform, Sobolev spaces, Littlewood-Paley operator,variable kernel. 

摘      要：In this paper we study a certain directional Hilbert transform and the boundedness on some mixed norm spaces. As one of applications, we prove the Lp-boundedness of the Littlewood-Paley operators with variable kernels. Our results are extensions of some known theorems.