Characterization of rearrangement invariant spaces with fixed points for the Hardy-Littlewood maximal operator

被引：0
|
作者：
Martín, J
Soria, J
机构：
[1] Univ Autonoma Barcelona, Dept Math, ES-08193 Bellaterra, Barcelona, Spain
[2] Univ Barcelona, Dept Appl Math & Anal, ES-08071 Barcelona, Spain
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2006年 / 31卷 / 01期
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D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the rearrangement invariant spaces for which there exists a nonconstant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces L-p(R-n) was first considered in [7]). The main result that we prove is that the space L-n/(n-2),L-infinity(R-n) boolean AND L-infinity(R-n) is minimal among those having this property.
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页码：39 / 46
页数：8
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