Generalized Cesàro operators in the disc algebra and in Hardy spaces
[EN] Generalized Cesàro operators Ct , for t ¿ [0, 1), are investigated when they act on the disc algebra A(D) and on the Hardy spaces H p, for 1 ¿ p ¿ ¿. We study the continuity, compactness, spectrum and point spectrum of Ct as well as their linear dynamics and mean ergodicity on these spaces....
| Autores: | , , |
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| 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:10251/220220 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/220220 |
| Access Level: | acceso abierto |
| Palabra clave: | Generalized Cesàro operator Disc algebra Hardy space |
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Generalized Cesàro operators in the disc algebra and in Hardy spacesAlbanese, Angela A.Ricker, Werner J.Bonet Solves, José Antonio|||0000-0002-9096-6380Generalized Cesàro operatorDisc algebraHardy space[EN] Generalized Cesàro operators Ct , for t ¿ [0, 1), are investigated when they act on the disc algebra A(D) and on the Hardy spaces H p, for 1 ¿ p ¿ ¿. We study the continuity, compactness, spectrum and point spectrum of Ct as well as their linear dynamics and mean ergodicity on these spaces.The research of A.A. Albanese was partially supported by GNAMPA of INDAM. The research of J. Bonet was partially supported by the project PID2020-119457GB-100 funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe". The authors thank the referee for various useful suggestionsTusi Mathematical Research GroupDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de ArquitecturaAGENCIA ESTATAL DE INVESTIGACIONEuropean Regional Development FundMinisterio de Ciencia e InnovaciónUNIVERSIDAD POLITECNICA DE VALENCIAUniversitat Politècnica de ValènciaRepositorio 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/pdfhttps://riunet.upv.es/handle/10251/220220reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversitat Politècnica de València https://doi.org/10.13039/501100004233 SP20120807 ANÁLISIS FUNCIONAL, ESPACIOS DE FUNCIONES C2, OPERADORES DE COMPOSICIÓNAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 MTM2016-76647-P ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIAMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 PID2020-119457GB-100open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2202202026-06-13T07:49:27Z |
| dc.title.none.fl_str_mv |
Generalized Cesàro operators in the disc algebra and in Hardy spaces |
| title |
Generalized Cesàro operators in the disc algebra and in Hardy spaces |
| spellingShingle |
Generalized Cesàro operators in the disc algebra and in Hardy spaces Albanese, Angela A. Generalized Cesàro operator Disc algebra Hardy space |
| title_short |
Generalized Cesàro operators in the disc algebra and in Hardy spaces |
| title_full |
Generalized Cesàro operators in the disc algebra and in Hardy spaces |
| title_fullStr |
Generalized Cesàro operators in the disc algebra and in Hardy spaces |
| title_full_unstemmed |
Generalized Cesàro operators in the disc algebra and in Hardy spaces |
| title_sort |
Generalized Cesàro operators in the disc algebra and in Hardy spaces |
| dc.creator.none.fl_str_mv |
Albanese, Angela A. Ricker, Werner J. Bonet Solves, José Antonio|||0000-0002-9096-6380 |
| author |
Albanese, Angela A. |
| author_facet |
Albanese, Angela A. Ricker, Werner J. Bonet Solves, José Antonio|||0000-0002-9096-6380 |
| author_role |
author |
| author2 |
Ricker, Werner J. Bonet Solves, José Antonio|||0000-0002-9096-6380 |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
Departamento de Matemática Aplicada Instituto Universitario de Matemática Pura y Aplicada Escuela Técnica Superior de Arquitectura AGENCIA ESTATAL DE INVESTIGACION European Regional Development Fund Ministerio de Ciencia e Innovación UNIVERSIDAD POLITECNICA DE VALENCIA Universitat Politècnica de València Repositorio Institucional de la Universitat Politècnica de València Riunet |
| dc.subject.none.fl_str_mv |
Generalized Cesàro operator Disc algebra Hardy space |
| topic |
Generalized Cesàro operator Disc algebra Hardy space |
| description |
[EN] Generalized Cesàro operators Ct , for t ¿ [0, 1), are investigated when they act on the disc algebra A(D) and on the Hardy spaces H p, for 1 ¿ p ¿ ¿. We study the continuity, compactness, spectrum and point spectrum of Ct as well as their linear dynamics and mean ergodicity on these spaces. |
| 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/10251/220220 |
| url |
https://riunet.upv.es/handle/10251/220220 |
| dc.language.none.fl_str_mv |
Inglés eng |
| language_invalid_str_mv |
Inglés |
| language |
eng |
| dc.relation.none.fl_str_mv |
Universitat Politècnica de València https://doi.org/10.13039/501100004233 SP20120807 ANÁLISIS FUNCIONAL, ESPACIOS DE FUNCIONES C2, OPERADORES DE COMPOSICIÓN Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 MTM2016-76647-P ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 PID2020-119457GB-100 |
| 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/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 Reconocimiento (by) http://creativecommons.org/licenses/by/4.0/ |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
Tusi Mathematical Research Group |
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Tusi Mathematical Research Group |
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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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