On the Maximal Operator Associated with Certain Rotational Invariant Measures

作     者：Adrián INFANTE Fernando SORIA 

作者机构：Department of Mathematics Universidad Simn Bolívar Department of Mathematics Universidad Autnoma de Madrid 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2010年第26卷第6期

页      面：993-1004页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by grants MTM2007-60952 and SGU PR2009-0084 

主　　题：maximal operator non-doubling measures 

摘      要：The aim of this work is to investigate the integrability properties of the maximal operator Mu,associated with a non-doubling measure μ defined on Rn. We start by establishing for a wide class of radial and increasing measures μ that Mu is bounded on all the spaces Lu^p（R^n）,P〉***,we show that there is a radial and increasing measure p for which Mμ does not map Lμ^p（R^n） into weak Lμ^p（R^n）,1≤p〈∞.