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Maurey-Rosenthal domination for abstract Banach lattices

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Maurey-Rosenthal domination for abstract Banach lattices

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dc.contributor.author Juan Blanco, María Aránzazu es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2015-03-12T12:48:38Z
dc.date.available 2015-03-12T12:48:38Z
dc.date.issued 2013
dc.identifier.issn 1025-5834
dc.identifier.uri http://hdl.handle.net/10251/48025
dc.description.abstract We extend the Maurey-Rosenthal theorem on integral domination and factorization of p-concave operators from a p-convex Banach function space through Lp-spaces for the case of operators on abstract p-convex Banach lattices satisfying some essential lattice requirements - mainly order density of its order continuous part - that are shown to be necessary. We prove that these geometric properties can be characterized by means of an integral inequality giving a domination of the pointwise evaluation of the operator for a suitable weight also in the case of abstract Banach lattices. We obtain in this way what in a sense can be considered the most general factorization theorem of operators through Lp-spaces. In order to do this, we prove a new representation theorem for abstract p-convex Banach lattices with the Fatou property as spaces of p-integrable functions with respect to a vector measure. es_ES
dc.description.sponsorship The authors are supported by grants MTM2011-23164 and MTM2012-36740-C02-02 of the Ministerio de Economia y Competitividad (Spain). en_EN
dc.language Inglés es_ES
dc.publisher SpringerOpen es_ES
dc.relation.ispartof Journal of Inequalities and Applications es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Integral inequality es_ES
dc.subject Banach lattice es_ES
dc.subject P-convexity es_ES
dc.subject P-concave es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Maurey-Rosenthal domination for abstract Banach lattices es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1186/1029-242X-2013-213
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2011-23164/ES/ANALISIS DE FOURIER MULTILINEAL, VECTORIAL Y SUS APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Juan Blanco, MA.; Sánchez Pérez, EA. (2013). Maurey-Rosenthal domination for abstract Banach lattices. Journal of Inequalities and Applications. (213). https://doi.org/10.1186/1029-242X-2013-213 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1186/1029-242X-2013-213 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.issue 213 es_ES
dc.relation.senia 256576
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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