Marcinkiewicz integral on Hardy spaces

被引：70

作者：

Ding, Y ^{[1
]}

Lu, SZ ^{[1
]}

Xue, QY ^{[1
]}

机构：

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

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2002年 / 42卷 / 02期

基金：

中国国家自然科学基金;

关键词：

42B25; 42B30;

D O I：

10.1007/BF01275514

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that the Marcinkiewicz integral mu(Omega) is an operator of type (H-1, L-1) and of type (H-1,H-infinity, L-1,L-infinity). As a corollary of the results above, we obtain again the the weak type (1,1) boundedness of mu(Omega), but the smoothness condition assumed on Omega is weaker than Stein's condition.

引用

页码：174 / 182

页数：9

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