ON HIGH DIMENSIONAL MAXIMAL OPERATORS

被引：3

作者：

Aldaz, J. M. ^{[1
]}

Perez Lazaro, J. ^{[2
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[2] Univ La Rioja, Dept Matemat & Comp, Logrono 26004, La Rioja, Spain

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2013年 / 7卷 / 02期

关键词：

Maximal operators; weak type bounds; radial measures; HARDY-LITTLEWOOD; 1,1 BOUNDS; CONSTANT; BEHAVIOR;

D O I：

10.15352/bjma/1363784233

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we describe some recent advances in the area of maximal function inequalities. We also study the behaviour of the centered Hardy-Littlewood maximal operator associated to certain families of doubling, radial decreasing measures, and acting on radial functions. In fact, we precisely determine when the weak type (1,1) bounds are uniform in the dimension.

引用

页码：225 / 243

页数：19

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