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dc.contributor.author | Bonet Solves, José Antonio | es_ES |
dc.contributor.author | Lusky, Wolfgang | es_ES |
dc.contributor.author | Taskinen, J. | es_ES |
dc.date.accessioned | 2019-10-02T06:16:28Z | |
dc.date.available | 2019-10-02T06:16:28Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0002-9939 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/126939 | |
dc.description.abstract | [EN] It is shown that the monomials A = (z(n))(n=0)(infinity) are a Schauder basis of the Frechet spaces A(+)(-gamma), gamma >= 0, that consists of all the analytic functions f on the unit disc such that (1 - vertical bar z vertical bar)(mu)vertical bar f(z)vertical bar is bounded for all mu > gamma. Lusky proved that A is not a Schauder basis for the closure of the polynomials in weighted Banach spaces of analytic functions of type H-infinity. A sequence space representation of the Frechet space A(+)(-gamma) is presented. The case of (LB)-spaces A(-)(-gamma), gamma > 0, that are defined as unions of weighted Banach spaces is also studied. | es_ES |
dc.description.sponsorship | Research of the third author was partially supported by the Vaisala Foundation of the Finnish Academy of Sciences and Letters. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | American Mathematical Society | es_ES |
dc.relation.ispartof | Proceedings of the American Mathematical Society | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Monomial basis in Korenblum type spaces of analytic functions | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1090/proc/14195 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ | 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 | Bonet Solves, JA.; Lusky, W.; Taskinen, J. (2018). Monomial basis in Korenblum type spaces of analytic functions. Proceedings of the American Mathematical Society. 146(12):5269-5278. https://doi.org/10.1090/proc/14195 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1090/proc/14195 | es_ES |
dc.description.upvformatpinicio | 5269 | es_ES |
dc.description.upvformatpfin | 5278 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 146 | es_ES |
dc.description.issue | 12 | es_ES |
dc.relation.pasarela | S\378837 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |