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dc.creatorCalabuig, J. M.es
dc.creatorDelgado Garrido, Olvidoes
dc.creatorSánchez Pérez, E. A.es
dc.date.accessioned2021-01-07T11:03:27Z
dc.date.available2021-01-07T11:03:27Z
dc.date.issued2010
dc.identifier.citationCalabuig, J.M., Delgado Garrido, O. y Sánchez Pérez, E.A. (2010). Factorizing operators on Banach function spaces through spaces of multiplication operators. Journal of Mathematical Analysis and Applications, 364 (1), 88-103.
dc.identifier.issn0022-247Xes
dc.identifier.urihttps://hdl.handle.net/11441/103436
dc.description.abstractIn order to extend the theory of optimal domains for continuous operators on a Banach function space X(μ) over a finite measure μ, we consider operators T satisfying other type of inequalities than the one given by the continuity which occur in several well-known factorization theorems (for instance, Pisier Factorization Theorem through Lorentz spaces, pth-power factorable operators . . . ). We prove that such a T factorizes through a space of multiplication operators which can be understood in a certain sense as the optimal domain for T . Our extended optimal domain technique does not need necessarily the equivalence between μ and the measure defined by the operator T and, by using δ-rings, μ is allowed to be infinite. Classical and new examples and applications of our results are also given, including some new results on the Hardy operator and a factorization theorem through Hilbert spaces.es
dc.description.sponsorshipGeneralitat Valenciana TSGD-07es
dc.description.sponsorshipMinisterio de Educación y Ciencia MTM2006-13000-C03-01es
dc.formatapplication/pdfes
dc.format.extent16es
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofJournal of Mathematical Analysis and Applications, 364 (1), 88-103.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBanach function spaceses
dc.subjectFactorization of operatorses
dc.subjectMultiplication operatorses
dc.subjectVector measureses
dc.titleFactorizing operators on Banach function spaces through spaces of multiplication operatorses
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.relation.projectIDTSGD-07es
dc.relation.projectIDMTM2006-13000-C03-01es
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0022247X09008543es
dc.identifier.doi10.1016/j.jmaa.2009.10.034es
dc.journaltitleJournal of Mathematical Analysis and Applicationses
dc.publication.volumen364es
dc.publication.issue1es
dc.publication.initialPage88es
dc.publication.endPage103es
dc.identifier.sisius6696232
dc.contributor.funderGeneralitat Valencianaes
dc.contributor.funderMinisterio de Educación y Ciencia (MEC). Españaes

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