The boundedness of composition operators on Triebel-Lizorkin and Besov Spaces with different homogeneities

被引：4

作者：

Ding, Wei ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Singular integral; Triebel-Lizorkin spaces; Besov spaces; discrete Calderon's identity; almost orthogonality estimates; CALDERON-ZYGMUND THEORY; SINGULAR-INTEGRALS; HP-THEORY; PRODUCT; DUALITY; BMO;

D O I：

10.1007/s10114-014-3280-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce new Triebel-Lizorkin and Besov Spaces associated with the different homogeneities of two singular integral operators. We then establish the boundedness of composition of two Caldern-Zygmund singular integral operators with different homogeneities on these Triebel-Lizorkin and Besov spaces.

引用

页码：933 / 948

页数：16

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