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.
In this paper we study a certain directional Hilbert transform and the bound-edness 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.
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
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).
