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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Detalles Bibliográficos
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
Descripción
Sumario:[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.