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dc.contributor.author | del Campo, R. | es_ES |
dc.contributor.author | Fernández, A. | es_ES |
dc.contributor.author | Mayoral, F. | es_ES |
dc.contributor.author | Naranjo, F. | es_ES |
dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.date.accessioned | 2021-09-14T03:33:12Z | |
dc.date.available | 2021-09-14T03:33:12Z | |
dc.date.issued | 2020-08-03 | es_ES |
dc.identifier.issn | 1607-3606 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/172302 | |
dc.description.abstract | [EN] Using the representation of the real interpolation of spaces of p-integrable functions with respect to a vector measure, we show new factorization theorems for p-th power factorable operators acting in interpolation couples of Banach function spaces. The recently introduced Lorentz spaces of the semivariation of vector measures play a central role in the resulting factorization theorems. We apply our results to analyze extension of operators from classical weighted Lebesgue Lp-spaces ¿ in general with di¿erent weights ¿ that can be extended to their q-th powers. This is the case, for example, of the convolution operators defined by Lp-improving measures acting in Lebesgue Lp-spaces or Lorentz spaces. A new representation theorem for Banach lattices with a special lattice geometric property, as a space of vector measure integrable functions, is also proved. | es_ES |
dc.description.sponsorship | The fifth author acknowledges the support of the Ministerio de Economia y Competitividad (Spain) and FEDER under grant MTM2016-77054-C2-1-P | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Informa UK (National Inquiry Services Center) | es_ES |
dc.relation.ispartof | Quaestiones Mathematicae | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Banach function space | es_ES |
dc.subject | Vector measure | es_ES |
dc.subject | Real interpolation | es_ES |
dc.subject | Factorable operator | es_ES |
dc.subject | Bidual concave operator | es_ES |
dc.subject | Improving measures | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Lorentz spaces of vector measures and real interpolation of operators | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.2989/16073606.2019.1605413 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P/ES/ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION/ | 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 | Del Campo, R.; Fernández, A.; Mayoral, F.; Naranjo, F.; Sánchez Pérez, EA. (2020). Lorentz spaces of vector measures and real interpolation of operators. Quaestiones Mathematicae. 43(5-6):591-609. https://doi.org/10.2989/16073606.2019.1605413 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.2989/16073606.2019.1605413 | es_ES |
dc.description.upvformatpinicio | 591 | es_ES |
dc.description.upvformatpfin | 609 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 43 | es_ES |
dc.description.issue | 5-6 | es_ES |
dc.relation.pasarela | S\424059 | es_ES |
dc.contributor.funder | MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD | es_ES |