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....

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Detalhes bibliográficos
Autores: Albanese, Angela A., Ricker, Werner J., Bonet Solves, José Antonio|||0000-0002-9096-6380
Formato: artículo
Fecha de publicación:2025
País:España
Recursos: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
Acesso em linha:https://riunet.upv.es/handle/10251/220220
Access Level:acceso abierto
Palavra-chave:Generalized Cesàro operator
Disc algebra
Hardy space
Descrição
Resumo:[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.