Singular integral operators on Triebel-Lizorkin spaces of para-accretive type

被引：2
|
作者：
Lin, Chin-Cheng [1 ]
Wang, Kunchuan [2 ]
机构：
[1] Natl Cent Univ, Dept Math, Chungli 320, Taiwan
[2] Natl Dong Hwa Univ, Dept Math, Hualien 970, Taiwan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 364卷 / 02期
关键词：
Calderon reproducing formula; Para-accretive function; Paraproduct operator; Tb theorem; Triebel-Lizorkin space; CALDERON-ZYGMUND OPERATORS; FULL T1 THEOREM; VALUED KERNEL;
D O I：
10.1016/j.jmaa.2009.10.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the boundedness of singular integral operators acting on Triebel-Lizorkin spaces of para-accretive type and show a Tb theorem on these spaces, which extends previous results in David, Journe and Semmes (1985) [3], Han (1994) [9], Han, Lee and Lin (2004) [10], Han and Sawyer (1990) [12], Lin and Wang (2009) [15], Wang (1999) [22]. (C) 2009 Elsevier Inc. All rights reserved.
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页码：453 / 462
页数：10
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