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dc.contributor.author | Motos Izquierdo, Joaquín![]() |
es_ES |
dc.contributor.author | Planells Gilabert, María Jesús![]() |
es_ES |
dc.contributor.author | Talavera Usano, César Félix![]() |
es_ES |
dc.date.accessioned | 2017-06-06T12:16:34Z | |
dc.date.available | 2017-06-06T12:16:34Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 1085-3375 | |
dc.identifier.uri | http://hdl.handle.net/10251/82423 | |
dc.description.abstract | [EN] We show that the dual of the variable exponent Hörmander space is isomorphic to the Hörmander space (when the exponent satisfies the conditions , the Hardy-Littlewood maximal operator is bounded on for some and is an open set in ) and that the Fréchet envelope of is the space . Our proofs rely heavily on the properties of the Banach envelopes of the -Banach local spaces of and on the inequalities established in the extrapolation theorems in variable Lebesgue spaces of entire analytic functions obtained in a previous article. Other results for , , are also given (e.g., all quasi-Banach subspace of is isomorphic to a subspace of , or is not isomorphic to a complemented subspace of the Shapiro space ). Finally, some questions are proposed. | es_ES |
dc.description.sponsorship | The first author has been partially supported by the Spanish Government Grant MTM2014-53009-P. | |
dc.language | Inglés | es_ES |
dc.publisher | Hindawi Publishing Corporation | es_ES |
dc.relation.ispartof | Abstract and Applied Analysis | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Fréchet Envelopes of Nonlocally Convex Variable Exponent Hörmander Spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1155/2016/1393496 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-53009-P/ES/ANALISIS VECTORIAL, MULTILINEAL Y APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Motos Izquierdo, J.; Planells Gilabert, MJ.; Talavera Usano, CF. (2016). Fréchet Envelopes of Nonlocally Convex Variable Exponent Hörmander Spaces. Abstract and Applied Analysis. 2016:1-9. https://doi.org/10.1155/2016/1393496 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1155/2016/1393496 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 9 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 2016 | es_ES |
dc.relation.senia | 320731 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad |