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A note on completeness of weighted normed spaces of analytic functions

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A note on completeness of weighted normed spaces of analytic functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Vukotic, Dragan es_ES
dc.date.accessioned 2020-09-10T03:31:35Z
dc.date.available 2020-09-10T03:31:35Z
dc.date.issued 2017-09 es_ES
dc.identifier.issn 1422-6383 es_ES
dc.identifier.uri http://hdl.handle.net/10251/149715
dc.description.abstract [EN] Given a non-negative weight v, not necessarily bounded or strictly positive, defined on a domain G in the complex plane, we consider the weighted space H-v(infinity) (G)of all holomorphic functions on G such that the product v vertical bar f vertical bar is bounded in G and study the question of when such a space is complete under the canonical sup-seminorm. We obtain both some necessary and some sufficient conditions in terms of the weight v, exhibit several relevant examples, and characterize completeness in the case of spaces with radial weights on balanced domains. es_ES
dc.description.sponsorship The first author was partially supported by MTM2013-43540-P and MTM2016-76647-P by MINECO/FEDER-EU and GVA Prometeo II/2013/013. The second author was partially supported by the MINECO/FEDER-EU Grant MTM2015-65792-P. Both authors were partially supported by Thematic Research Network MTM2015-69323-REDT, MINECO, Spain. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Results in Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Weighted Banach spaces es_ES
dc.subject Holomorphic functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A note on completeness of weighted normed spaces of analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00025-017-0696-2 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ 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.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2015-65792-P/ES/DESIGUALDADES Y OPERADORES EN ANALISIS REAL Y COMPLEJO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2015-69323-REDT/ES/VARIABLE COMPLEJA, ESPACIOS DE FUNCIONES Y OPERADORES ENTRE ELLOS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/ 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.; Vukotic, D. (2017). A note on completeness of weighted normed spaces of analytic functions. Results in Mathematics. 72(1-2):263-279. https://doi.org/10.1007/s00025-017-0696-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00025-017-0696-2 es_ES
dc.description.upvformatpinicio 263 es_ES
dc.description.upvformatpfin 279 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 72 es_ES
dc.description.issue 1-2 es_ES
dc.relation.pasarela S\351144 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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