The Boundedness of Calderón-Zygmund Operators by Wavelet Characterization

被引：0

作者：

ChengCong HUNG ^{[1
]}

MingYi LEE ^{[2
]}

机构：

[1] Department of Applied Mathematics, National Chiao Tung University

[2] Department of Mathematics, National Central

来源：

Acta Mathematica Sinica | 2012年 / 28卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces Hp(Rn). We use wavelet characterization of Hp(Rn) to show that a Calderón-Zygmund operator T with T*1 = 0 is bounded on Hp(Rn), n/n+ε < p ≤ 1, where ε is the regular exponent of kernel of T . This approach can be applied to the boundedness of operators on certain Hardy spaces without atomic decomposition or molecular characterization.

引用

页码：1237 / 1248

页数：12