Mostrar el registro sencillo del ítem
dc.contributor.author | Cavalcante, Wasthenny, V. | es_ES |
dc.contributor.author | Rueda, Pilar | es_ES |
dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.date.accessioned | 2022-09-30T18:07:04Z | |
dc.date.available | 2022-09-30T18:07:04Z | |
dc.date.issued | 2021-03 | es_ES |
dc.identifier.issn | 1230-3429 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/186798 | |
dc.description.abstract | [EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with values on spaces of integrable functions. Pointwise domination is not a natural feature of such spaces, and so almost everywhere inequalities and other measure-theoretic notions are introduced. We analyze Lipschitz-type inequalities in two fundamental cases. The first concerns almost everywhere pointwise inequalities, while the second considers dominations involving integrals. These Lipschitz-type inequalities provide a suitable frame to work with operators that take values on Banach function spaces. In the last part of the paper we use some interpolation procedures to extend our study to interpolated Banach function spaces. | es_ES |
dc.description.sponsorship | The second and the third authors gratefully acknowledge the support of the Ministerio de Ciencia, Innovacion y Universidades (Spain) and FEDER under grant MTM2016-77054-C2-1-P2 | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University | es_ES |
dc.relation.ispartof | Topological Methods in Nonlinear Analysis | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Lipschitz operator | es_ES |
dc.subject | Banach function space | es_ES |
dc.subject | Integration | es_ES |
dc.subject | Measure | es_ES |
dc.subject | Metric space | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | EXTENSION OF LIPSCHITZ-TYPE OPERATORS ON BANACH FUNCTION SPACES | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.12775/TMNA.2020.026 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/ | 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 | Cavalcante, WV.; Rueda, P.; Sánchez Pérez, EA. (2021). EXTENSION OF LIPSCHITZ-TYPE OPERATORS ON BANACH FUNCTION SPACES. Topological Methods in Nonlinear Analysis. 57(1):343-364. https://doi.org/10.12775/TMNA.2020.026 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.12775/TMNA.2020.026 | es_ES |
dc.description.upvformatpinicio | 343 | es_ES |
dc.description.upvformatpfin | 364 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 57 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.pasarela | S\458331 | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
dc.contributor.funder | MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD | es_ES |
dc.contributor.funder | Coordenaçao de Aperfeiçoamento de Pessoal de Nível Superior, Brasil | es_ES |