BMO-boundedness of the maximal operator for arbitrary measures

被引:4
|
作者
Lerner, Andrei K. [1 ]
机构
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
关键词
D O I
10.1007/s11856-007-0045-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that in the one-dimensional case the weighted Hardy-Littlewood maximal operator M,, is bounded on BMO(mu) for arbitrary Radon measure p, and that this is not the case in higher dimensions.
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页码:243 / 252
页数:10
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