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dc.creatorCampo Acosta, Ricardo deles
dc.creatorFernández Carrión, Antonioes
dc.creatorMayoral Masa, Fernandoes
dc.creatorNaranjo Naranjo, Francisco Josées
dc.date.accessioned2022-07-28T07:42:15Z
dc.date.available2022-07-28T07:42:15Z
dc.date.issued2020
dc.identifier.citationCampo Acosta, R.d., Fernández Carrión, A., Mayoral Masa, F. y Naranjo Naranjo, F.J. (2020). Compactness in quasi-Banach function spaces with applications to L1 of the semivariation of a vector measure. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (3, art. nº112)
dc.identifier.issn1578-7303es
dc.identifier.urihttps://hdl.handle.net/11441/135937
dc.description.abstractWe characterize the relatively compact subsets of the order continuous part Ea of a quasi Banach function space E showing that the strong connection between compactness, uniform absolute continuity, uniform integrability, almost order boundedness and L-weak compact ness that appears in the classical setting of Lebesgue spaces remains almost invariant in this new context under mild assumptions. We also present a de la Vallée–Poussin type theorem in this context that allows us to locate each compact subset of Ea as a compact subset of a smaller quasi-Banach Orlicz space E Φ . Our results generalize the previous known results for the Banach function spaces L 1 (m) and L 1 w(m) associated to a vector measure m and moreover they can also be applied to the quasi-Banach function space L 1 ( m ) associated to the semivariation of m.es
dc.description.sponsorshipJunta de Andalucía FQM-133es
dc.formatapplication/pdfes
dc.format.extent17es
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (3, art. nº112)
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectOrlicz spaceses
dc.subjectVector measureses
dc.subjectSemivariationes
dc.subjectUniform integrabilityes
dc.subjectUniform absolute continuityes
dc.subjectCompactnesses
dc.subjectDe la Vallée–Poussin’s theoremes
dc.titleCompactness in quasi-Banach function spaces with applications to L1 of the semivariation of a vector measurees
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)es
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)es
dc.relation.projectIDFQM-133es
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s13398-020-00840-4es
dc.identifier.doi10.1007/s13398-020-00840-4es
dc.contributor.groupUniversidad de Sevilla. FQM-133: Investigación en Análisis Funcionales
dc.journaltitleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticases
dc.publication.volumen114es
dc.publication.issue3, art. nº112es
dc.contributor.funderJunta de Andalucíaes

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