Bloch Functions and Bekollé-Bonami Weights

We study some analogues of well-known relationships between Muckenhoupt weights and BMO in the setting of Bekollé-Bonami weights. For Bekollé-Bonami weights of bounded hyperbolic oscillation, distance formulas of Garnett and Jones type in the context of BMO on the unit disc and hyperbolic Lipschitz...

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Detalles Bibliográficos
Autores: Limani, A, Nicolau, A.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/537045
Acceso en línea:http://hdl.handle.net/2072/537045
Access Level:acceso abierto
Palabra clave:Bloch functions, Bekollé-Bonami Weights, Mathematics
Descripción
Sumario:We study some analogues of well-known relationships between Muckenhoupt weights and BMO in the setting of Bekollé-Bonami weights. For Bekollé-Bonami weights of bounded hyperbolic oscillation, distance formulas of Garnett and Jones type in the context of BMO on the unit disc and hyperbolic Lipschitz functions are obtained. We provide a counterexample to a recent conjecture, which suggests a certain weight condition for characterizing the closure of bounded analytic functions in the Bloch space. Finally, we include some applications to the spectrum of Cesaró operators on the Bergman spaces. © Indiana University Mathematics Journal.

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