On the Maximal Operator Associated with Certain Rotational Invariant Measures

被引：0
|
作者：
Adrián INFANTE [1 ]
Fernando SORIA [2 ]
机构：
[1] Department of Mathematics, Universidad Simn Bolívar
[2] Department of Mathematics, Universidad Autnoma de Madrid
来源：
Acta Mathematica Sinica(English Series) | 2010年 / 26卷 / 06期
关键词：
maximal operator; non-doubling measures;
D O I：
暂无
中图分类号：
O174.12 [测度论];
学科分类号：
摘要：
The aim of this work is to investigate the integrability properties of the maximal operatorMμ, associated with a non-doubling measure μ defined on Rn. We start by establishing for a wideclass of radial and increasing measures μ, that Mμis bounded on all the spaces Lμp(Rn), p > 1. Also,we show that there is a radial and increasing measure μ for which Mμdoes not map Lμp(Rn) into weakLμp(Rn), 1 ≤ p < ∞.
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页码：993 / 1004
页数：12
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