Local Hardy-Littlewood maximal operator

被引：13

作者：

Lin, Chin-Cheng ^{[2
]}

Stempak, Krzysztof ^{[1
,3
]}

机构：

[1] Wroclaw Univ Technol, Inst Matemat & Informat, PL-50370 Wroclaw, Poland

[2] Natl Cent Univ, Dept Math, Chungli 320, Taiwan

[3] Politech Opolska, Katedra Matemat & Zastosowan Informat, PL-45271 Opole, Poland

来源：

MATHEMATISCHE ANNALEN | 2010年 / 348卷 / 04期

关键词：

INEQUALITIES;

D O I：

10.1007/s00208-010-0499-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we define and investigate a local Hardy-Littlewood maximal operator in Euclidean spaces. It is proved that this operator satisfies weighted L(p), p > 1, and weighted weak type (1, 1) estimates with weight function w is an element of A(loc)(p), the class of local A(p) weights which is larger than the Muckenhoupt A(p) class. Also, the condition w is an element of A(loc)(p) turns out to be necessary for the weighted weak type (p, p), p >= 1, inequality to hold.

引用

页码：797 / 813

页数：17

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