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Weighted composition operators on Korenblum type spaces of analytic functions

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Weighted composition operators on Korenblum type spaces of analytic functions

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dc.contributor.author Gomez-Orts, Esther es_ES
dc.date.accessioned 2021-11-05T12:51:50Z
dc.date.available 2021-11-05T12:51:50Z
dc.date.issued 2020-09-05 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/176141
dc.description.abstract [EN] We investigate the continuity, compactness and invertibility of weighted composition operators W-psi,W-phi: f -> psi(f circle phi) when they act on the classical Korenblum space A(-infinity) and other related Frechet or (LB)-spaces of analytic functions on the open unit disc which are defined as intersections or unions of weighted Banach spaces with sup-norms. Some results about the spectrum of these operators are presented in case the self-map phi has a fixed point in the unit disc. A precise description of the spectrum is obtained in this case when the operator acts on the Korenblum space. es_ES
dc.description.sponsorship This research was partially supported by the research project MTM2016-76647-P and the grant BES-2017-081200. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Weighted composition operator es_ES
dc.subject Compact operator es_ES
dc.subject Spectrum es_ES
dc.subject Analytic functions es_ES
dc.subject Growth Banach spaces es_ES
dc.subject Korenblum space es_ES
dc.subject Frechet spaces es_ES
dc.subject (LB)-spaces es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Weighted composition operators on Korenblum type spaces of analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-020-00924-1 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AGENCIA ESTATAL DE INVESTIGACION//MTM2016-76647-P//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//BES-2017-081200//AYUDAS PARA CONTRATOS PREDOCTORALES PARA LA FORMACION DE DOCTORES-GOMEZ ORTS. PROYECTO: ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Gomez-Orts, E. (2020). Weighted composition operators on Korenblum type spaces of analytic functions. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 114(4):1-15. https://doi.org/10.1007/s13398-020-00924-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-020-00924-1 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 114 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\423513 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
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