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...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2023 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:306181 |
| Acesso em linha: | https://ddd.uab.cat/record/306181 https://dx.doi.org/urn:doi:10.1512/iumj.2023.72.9279 |
| Access Level: | Acceso aberto |
| Resumo: | 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. |
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