Cesàro operators on the space of analytic functions with logarithmic growth

[EN] Continuity, compactness, the spectrum and ergodic properties of Ces & agrave;ro operators are investigated when they act on the space V H(IID) of analytic functions with logarithmic growth on the open unit disc IID of the complex plane. The space V H(IID) is a countable inductive limit...

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Autor: Bonet Solves, José Antonio|||0000-0002-9096-6380
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/225470
Acceso en línea:https://riunet.upv.es/handle/10251/225470
Access Level:acceso abierto
Palabra clave:Weighted spaces of analytic functions
Cesàro operator
Logarithmic growth
Spectrum
Mean ergodic operator
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repository_id_str
spelling Cesàro operators on the space of analytic functions with logarithmic growthBonet Solves, José Antonio|||0000-0002-9096-6380Weighted spaces of analytic functionsCesàro operatorLogarithmic growthSpectrumMean ergodic operator[EN] Continuity, compactness, the spectrum and ergodic properties of Ces & agrave;ro operators are investigated when they act on the space V H(IID) of analytic functions with logarithmic growth on the open unit disc IID of the complex plane. The space V H(IID) is a countable inductive limit of weighted Banach spaces of analytic functions with compact linking maps. It was introduced and studied by Taskinen and also by Jasiczak.This research was partially supported by the Project PID2020-119457GB100 funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe .Institute of Mathematics, Polish Academy of SciencesDepartamento de Matemática AplicadaEscuela Técnica Superior de ArquitecturaInstituto Universitario de Matemática Pura y AplicadaAgencia Estatal de InvestigaciónEuropean Regional Development FundRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/225470reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-119457GB-I00 METODOS DEL ANALISIS FUNCIONAL PARA LA TEORIA DE OPERADORES Y EL ANALISIS TIEMPO-FRECUENCIAopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2254702026-06-13T07:49:27Z
dc.title.none.fl_str_mv Cesàro operators on the space of analytic functions with logarithmic growth
title Cesàro operators on the space of analytic functions with logarithmic growth
spellingShingle Cesàro operators on the space of analytic functions with logarithmic growth
Bonet Solves, José Antonio|||0000-0002-9096-6380
Weighted spaces of analytic functions
Cesàro operator
Logarithmic growth
Spectrum
Mean ergodic operator
title_short Cesàro operators on the space of analytic functions with logarithmic growth
title_full Cesàro operators on the space of analytic functions with logarithmic growth
title_fullStr Cesàro operators on the space of analytic functions with logarithmic growth
title_full_unstemmed Cesàro operators on the space of analytic functions with logarithmic growth
title_sort Cesàro operators on the space of analytic functions with logarithmic growth
dc.creator.none.fl_str_mv Bonet Solves, José Antonio|||0000-0002-9096-6380
author Bonet Solves, José Antonio|||0000-0002-9096-6380
author_facet Bonet Solves, José Antonio|||0000-0002-9096-6380
author_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Arquitectura
Instituto Universitario de Matemática Pura y Aplicada
Agencia Estatal de Investigación
European Regional Development Fund
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Weighted spaces of analytic functions
Cesàro operator
Logarithmic growth
Spectrum
Mean ergodic operator
topic Weighted spaces of analytic functions
Cesàro operator
Logarithmic growth
Spectrum
Mean ergodic operator
description [EN] Continuity, compactness, the spectrum and ergodic properties of Ces & agrave;ro operators are investigated when they act on the space V H(IID) of analytic functions with logarithmic growth on the open unit disc IID of the complex plane. The space V H(IID) is a countable inductive limit of weighted Banach spaces of analytic functions with compact linking maps. It was introduced and studied by Taskinen and also by Jasiczak.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/225470
url https://riunet.upv.es/handle/10251/225470
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-119457GB-I00 METODOS DEL ANALISIS FUNCIONAL PARA LA TEORIA DE OPERADORES Y EL ANALISIS TIEMPO-FRECUENCIA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Institute of Mathematics, Polish Academy of Sciences
publisher.none.fl_str_mv Institute of Mathematics, Polish Academy of Sciences
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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