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

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dc.creatorMartin, Joaquim
dc.creatorSoria, Javier
dc.date2004-09-01
dc.date.accessioned2026-07-07T05:11:44Z
dc.date.available2026-07-07T05:11:44Z
dc.descriptionWe characterize the rearrangement invariant spaces for which there exists a non-constant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces $L^p(\mathbb{R}^{n})$ was first considered by Korry in \cite{Ko}). The main result that we prove is that the space $L^{\frac{n}{n-2},\infty}(\mathbb{R}^{n})\cap L^{\infty}(\mathbb{R}^{n})$ is minimal among those having this property
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0409017
dc.identifierhttp://arxiv.org/abs/math/0409017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72342
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject42B25; 46E30
dc.titleCharacterization of rearrangement invariant spaces with fixed points for the Hardy-Littlewood maximal operator
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