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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| 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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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 |
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open access http://purl.org/coar/access_right/c_abf2 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
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openAccess |
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application/pdf application/pdf |
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Springer-Verlag |
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Springer-Verlag |
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reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname:Universitat Politècnica de València (UPV) |
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Universitat Politècnica de València (UPV) |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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