Hausdorff Operators on Weighted Banach Spaces of Type H-infinity

[EN] Some criteria for the continuity of Hausdorff operators on weighted Banach spaces of analytic functions with sup-norms are presented. The operator is defined in a different way on spaces of entire functions and on spaces of analytic functions on the disc. Both cases are analyzed. Our results co...

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Autor: Bonet Solves, José Antonio|||0000-0002-9096-6380
Tipo de recurso: artículo
Fecha de publicación:2022
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:10251/199849
Acceso en línea:https://riunet.upv.es/handle/10251/199849
Access Level:acceso abierto
Palabra clave:Weighted Banach spaces of holomorphic functions
Hausdorff operator
Entire functions
MATEMATICA APLICADA
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spelling Hausdorff Operators on Weighted Banach Spaces of Type H-infinityBonet Solves, José Antonio|||0000-0002-9096-6380Weighted Banach spaces of holomorphic functionsHausdorff operatorEntire functionsMATEMATICA APLICADA[EN] Some criteria for the continuity of Hausdorff operators on weighted Banach spaces of analytic functions with sup-norms are presented. The operator is defined in a different way on spaces of entire functions and on spaces of analytic functions on the disc. Both cases are analyzed. Our results complement recent work by Stylogiannis and Gal an opoulos, and by Mirotin.The author is thankful to the referee for the useful comments about Hausdorff operators and for providing the references [16,17,25]. This research was partially supported by the project MCIN PID2020-119457GB-I00/AEI/10.13039/501100011033.Springer-VerlagDepartamento de Matemática AplicadaEscuela Técnica Superior de ArquitecturaInstituto Universitario de Matemática Pura y AplicadaAGENCIA ESTATAL DE INVESTIGACIONAgencia Estatal de InvestigaciónRepositorio Institucional de la Universitat Politècnica de València Riunet20222022-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/199849reponame: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-FRECUENCIAAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 MTM2016-76647-P ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIAopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1998492026-06-13T07:49:27Z
dc.title.none.fl_str_mv Hausdorff Operators on Weighted Banach Spaces of Type H-infinity
title Hausdorff Operators on Weighted Banach Spaces of Type H-infinity
spellingShingle Hausdorff Operators on Weighted Banach Spaces of Type H-infinity
Bonet Solves, José Antonio|||0000-0002-9096-6380
Weighted Banach spaces of holomorphic functions
Hausdorff operator
Entire functions
MATEMATICA APLICADA
title_short Hausdorff Operators on Weighted Banach Spaces of Type H-infinity
title_full Hausdorff Operators on Weighted Banach Spaces of Type H-infinity
title_fullStr Hausdorff Operators on Weighted Banach Spaces of Type H-infinity
title_full_unstemmed Hausdorff Operators on Weighted Banach Spaces of Type H-infinity
title_sort Hausdorff Operators on Weighted Banach Spaces of Type H-infinity
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 INVESTIGACION
Agencia Estatal de Investigación
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Weighted Banach spaces of holomorphic functions
Hausdorff operator
Entire functions
MATEMATICA APLICADA
topic Weighted Banach spaces of holomorphic functions
Hausdorff operator
Entire functions
MATEMATICA APLICADA
description [EN] Some criteria for the continuity of Hausdorff operators on weighted Banach spaces of analytic functions with sup-norms are presented. The operator is defined in a different way on spaces of entire functions and on spaces of analytic functions on the disc. Both cases are analyzed. Our results complement recent work by Stylogiannis and Gal an opoulos, and by Mirotin.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-01-01
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/10251/199849
url https://riunet.upv.es/handle/10251/199849
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
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 MTM2016-76647-P ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer-Verlag
publisher.none.fl_str_mv Springer-Verlag
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
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