Rough singular integrals on Triebel-Lizorkin space and Besov space

被引：30

作者：

Chen, Yanping ^{[2
]}

Ding, Yong ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Univ Sci & Technol Beijing, Appl Sci Sch, Dept Math & Mech, Beijing 100083, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 347卷 / 02期

关键词：

rough singular integral; Hardy space kernel; Triebel-Lizorkin space; Besov space;

D O I：

10.1016/j.jmaa.2008.06.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the authors prove that the homogeneous singular integral T-Omega with Omega epsilon H-1 (Sn-1) is bounded on the Triebel-Lizorkin spaces and the Besov spaces. These results answer an open problem proposed by Chen and Zhang in U. Chen, C. Zhang, Boundedness of rough singular integral on the Triebel-Lizorkin spaces, J. Math. Anal. Appl. 337 (2008) 1048-1052]. The same results hold also for the rough singular integral operators T-Omega.h with radial function kernels. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：493 / 501

页数：9

共 21 条

[1] ON SINGULAR INTEGRALS [J].