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

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RECERCAT Home > Universitat Autònoma de Barcelona > Articles escrits per personal UAB o publicats per la universitat > View document

dc.contributor.author	Martín i Pedret, Joaquim
dc.contributor.author	Soria, Javier
dc.date	2006
dc.identifier	https://ddd.uab.cat/record/271410
dc.identifier	urn:oai:ddd.uab.cat:271410
dc.identifier	urn:oai:egreta.uab.cat:publications/60708d0e-f723-4a89-8493-67fdfcd47c05
dc.identifier	urn:pure_id:49177833
dc.identifier	urn:recercauab:ARE-44417
dc.identifier	urn:scopus_id:33744512656
dc.identifier	urn:articleid:2737114Xv31p39
dc.format	application/pdf
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Ministerio de Ciencia y Tecnología MTM2004-02299
dc.relation	Agència de Gestió d'Ajuts Universitaris i de Recerca 2001/SGR-00069
dc.relation	Annales Academiae Scientiarum Fennicae. Mathematica ; Vol. 31 (2006), p. 39-46
dc.rights	open access
dc.rights	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original.
dc.rights	https://creativecommons.org/licenses/by-nc/4.0/
dc.title	Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator
dc.type	Article
dc.description.abstract	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 Lp (Rn) was first considered in [7]). The main result that we prove is that the space Ln/(n−2),∞(Rn) ∩ L∞(Rn) is minimal among those having this property.

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