Maximal operators on BMO and slices

被引：0
|
作者：
Shaabani, Shahaboddin [1 ]
机构：
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ, Canada
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2024年 / 67卷 / 01期
关键词：
Maximal operators; BMO; VMO;
D O I：
10.4153/S000843952300053X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the uncentered Hardy-Littlewood maximal operator is discontinuous on BMO(R-n) and maps VMO(R-n) to itself. A counterexample to the boundedness of the strong and directional maximal operators on BMO(R-n) is given, and properties of slices of BMO(R-n) functions are discussed.
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页码：94 / 107
页数：14
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