Boundedness of commutators on Hardy-type spaces

被引：16

作者：

Lin, Yan ^{[1
]}

Lu, Shanzhen ^{[1
]}

机构：

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

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2007年 / 57卷 / 03期

基金：

中国国家自然科学基金;

关键词：

strongly singular Calderon-Zygmund operator; commutator; Lipschitz space; Hardy space; Herz-type Hardy space; BMO;

D O I：

10.1007/s00020-006-1461-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the boundedness of the commutator generated by strongly singular Calderon-Zygmund operator and a Lipschitz function is discussed on the classical Hardy spaces and the Herz-type Hardy spaces. The authors also get the boundedness of the strongly singular Calderon-Zygmund operator itself and the commutator generated by strongly singular Calderon-Zygmund operator and a BMO function on the Herz-type Hardy spaces.

引用

页码：381 / 396

页数：16

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