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.
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页码：195 / 208
页数：14
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