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Distance formulas on weighted Banach spaces of analytic functions

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Distance formulas on weighted Banach spaces of analytic functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Lusky, Wolfgang es_ES
dc.contributor.author Taskinen, Jari es_ES
dc.date.accessioned 2020-11-21T04:31:25Z
dc.date.available 2020-11-21T04:31:25Z
dc.date.issued 2019-04 es_ES
dc.identifier.issn 1661-8254 es_ES
dc.identifier.uri http://hdl.handle.net/10251/155435
dc.description.abstract [EN] Let v be a radial weight function on the unit disc or on the complex plane. It is shown that for each analytic function f0 in the Banach space Hv all analytic functions f such that v|f| is bounded, the distance of f0 to the subspace Hv0 of Hv of all the functions g such that v|g| vanishes at infinity is attained at a function g0Hv0. Moreover a simple, direct proof of the formula of the distance of f to Hv0 due to Perfekt is presented. As a consequence the corresponding results for weighted Bloch spaces are obtained. es_ES
dc.description.sponsorship The authors are very thankful to the referees for their careful reading of the manuscript and their suggestions. The research of Bonet was partially supported by the Projects MTM2016-76647-P and GV Prometeo 2017/102. The research of Taskinen was partially supported by the research grant from the Faculty of Science of the University of Helsinki. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Complex Analysis and Operator Theory es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach spaces of analytic functions es_ES
dc.subject Weight es_ES
dc.subject Distance es_ES
dc.subject Bloch functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Distance formulas on weighted Banach spaces of analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11785-018-0815-4 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/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ 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. (2019). Distance formulas on weighted Banach spaces of analytic functions. Complex Analysis and Operator Theory. 13(3):893-900. https://doi.org/10.1007/s11785-018-0815-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11785-018-0815-4 es_ES
dc.description.upvformatpinicio 893 es_ES
dc.description.upvformatpfin 900 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 13 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\404729 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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