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Optimal Extensions for pth Power Factorable Operators

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Optimal Extensions for pth Power Factorable Operators

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dc.contributor.author Delgado Garrido, Olvido es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2020-09-15T03:32:48Z
dc.date.available 2020-09-15T03:32:48Z
dc.date.issued 2016-12 es_ES
dc.identifier.issn 1660-5446 es_ES
dc.identifier.uri http://hdl.handle.net/10251/150055
dc.description.abstract [EN] Let be a function space related to a measure space with and let be a Banach space-valued operator. It is known that if T is pth power factorable then the largest function space to which T can be extended preserving pth power factorability is given by the space L (p) (m (T) ) of p-integrable functions with respect to m (T) , where is the vector measure associated to T via . In this paper, we extend this result by removing the restriction . In this general case, by considering m (T) defined on a certain -ring, we show that the optimal domain for T is the space . We apply the obtained results to the particular case when T is a map between sequence spaces defined by an infinite matrix. es_ES
dc.description.sponsorship O. Delgado gratefully acknowledges the support of the Ministerio de Economia y Competitividad (Project #MTM2012-36732-C03-03) and the Junta de Andalucia (Projects FQM-262 and FQM-7276), Spain. E.A. Sanchez Perez acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Project #MTM2012-36740-C02-02), Spain. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mediterranean Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Integration with respect to a vector measure defined on a delta-ring es_ES
dc.subject Optimal extension of an operator es_ES
dc.subject Pth power factorable operator es_ES
dc.subject Quasi-Banach function space es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Optimal Extensions for pth Power Factorable Operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00009-016-0745-1 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Junta de Andalucía//P11-FQM-7276/ES/Teoría de la aproximación, funciones especiales y modelos matemáticos: de la teoría a las aplicaciones oftalmológicas/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Junta de Andalucía//FQM-262/ES/Teoria De La Aproximacion/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36732-C03-03/ES/ORTOGONALIDAD Y APROXIMACION: TEORIA Y APLICACIONES EN CIENCIA Y TECNOLOGIA/ 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. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Delgado Garrido, O.; Sánchez Pérez, EA. (2016). Optimal Extensions for pth Power Factorable Operators. Mediterranean Journal of Mathematics. 13(6):4281-4303. https://doi.org/10.1007/s00009-016-0745-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00009-016-0745-1 es_ES
dc.description.upvformatpinicio 4281 es_ES
dc.description.upvformatpfin 4303 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 13 es_ES
dc.description.issue 6 es_ES
dc.relation.pasarela S\326640 es_ES
dc.contributor.funder Junta de Andalucía es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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