MAXIMAL OPERATOR IN VARIABLE EXPONENT LEBESGUE SPACES ON UNBOUNDED QUASIMETRIC MEASURE SPACES

被引：2

作者：

Adamowicz, Tomasz ^{[1
]}

Harjulehto, Petteri ^{[2
]}

Hasto, Peter ^{[3
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland

[2] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland

[3] Univ Oulu, Dept Math Sci, FI-90014 Oulu, Finland

来源：

MATHEMATICA SCANDINAVICA | 2015年 / 116卷 / 01期

关键词：

POTENTIALS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Hardy-Littlewood maximal operator M on L-p(.)(X) when X is an unbounded (quasi)metric measure space, and p may be unbounded. We consider both the doubling and general measure case, and use two versions of the log-Holder condition. As a special case we obtain the criterion for a boundedness of M on L-p(.)(R-n, mu) for arbitrary, possibly non-doubling, Radon measures.

引用

页码：5 / 22

页数：18

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