Hardy-Littlewood maximal functions for measure of cupidal varieties

被引：10
|
作者：
Li, Hong-Quan [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Inst Math, Shanghai 200433, Peoples R China
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2007年 / 88卷 / 03期
关键词：
D O I：
10.1016/j.matpur.2007.06.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the centered and non-centered Hardy-Littlewood maximal functions, M and M*, for a wide class of non-doubling measure mu defined on cusped manifolds. In particular, we give a class of manifolds with exponential volume growth on which M is of weak type (1, 1) and M* is bounded on L-p for all p > 1. (C) 2007 Elsevier Masson SAS. Tous droits reserves.
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页码：261 / 275
页数：15
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