A necessary condition for Calderon-Zygmund singular integral operators

被引：0

作者：

Daly, JE ^{[1
]}

机构：

[1] Univ Colorado, Dept Math, Colorado Springs, CO 80933 USA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1999年 / 5卷 / 04期

关键词：

Hardy spaces; Calderon-Zygmund singular integral operator; multipliers;

D O I：

10.1007/BF01259372

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Calderon-Zygmund singular integral operators have been extensively studied for almost half a century. This paper provides a context for and proof of the following result: If a Calderon-Zygmund convolution singular integral operator is bounded on the Hardy space H-1(R-n), then the homogeneous of degree zero kernel is in the Hardy space H1(Sn-1) on the sphere.

引用

页码：303 / 308

页数：6

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