Algebra of Calderón-Zygmund Operators Associated to Para-Accretive Functions

被引：0

作者：

Yongsheng Han

Ming-Yi Lee

Chin-Cheng Lin

机构：

[1] Department of Mathematics,

[2] Auburn University,undefined

[3] Institute of Mathematics,undefined

[4] Academia Sinica,undefined

[5] Department of Mathematics,undefined

[6] National Central University,undefined

来源：

Journal of Fourier Analysis and Applications | 2006年 / 12卷

关键词：

Hardy Space; Singular Integral Operator; Homogeneous Type; Maximal Inequality; Dyadic Cube;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By use of special wavelet bases associated to accretive or pseudo-accretive functions, it was proved that all Calderón-Zygmund operators satisfying certain conditions form an algebra. In this article, a similar result is proved for more general para-accretive functions. Since wavelet bases are not available for this general setting, the new idea used here is to apply the discrete Calderón-type reproducing formula associated to para-accretive functions developed in [14]. This new method can be applied to many other problems, where wavelet bases are not available.

引用

页码：581 / 596

页数：15