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
收藏
页码：174 / 182
页数：9
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