Maximal and potential operators in variable exponent Morrey spaces

被引：6

作者：

Almeida, Alexandre ^{[1
]}

Hasanov, Javanshir ^{[2
]}

Samko, Stefan ^{[3
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

[2] NAS Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

[3] Univ Algarve, Dept Math, P-8005139 Faro, Portugal

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2008年 / 15卷 / 02期

关键词：

maximal function; fractional maximal operator; Riesz potential; Morrey space; variable exponent; Hardy-Littlewood-Sobolev type estimate; BMO space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the boundedness of the Hardy-Littlewood maximal operator on variable Morrey spaces L-p(.),(gimel(.))(ohm) over a bounded open set ohm subset of R-n and a Sobolev type L-p(.),(gimel(.)) -> L-q(.),(gimel(.))-theorem for potential operators I-alpha(.), also of variable order. In the case of constant alpha, the limiting case is also studied when the potential operator I-alpha acts into BMO space.

引用

页码：195 / 208

页数：14

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