Korenblum’s Principle for Bergman spaces with radial weights
We show that the Korenblum maximum (domination) principle is valid for weighted Bergman spaces Ap w with arbitrary (non-negative and integrable) radial weights w in the case 1 ≤ p < ∞. We also notice that in every weighted Bergman space the supremum of all radii for which the principle holds is s...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/712857 |
| Acesso em linha: | http://hdl.handle.net/10486/712857 https://dx.doi.org/10.1007/s40315-024-00543-6 |
| Access Level: | acceso abierto |
| Palavra-chave: | Weighted Bergman Space Domination 30H20 Matemáticas |
| Resumo: | We show that the Korenblum maximum (domination) principle is valid for weighted Bergman spaces Ap w with arbitrary (non-negative and integrable) radial weights w in the case 1 ≤ p < ∞. We also notice that in every weighted Bergman space the supremum of all radii for which the principle holds is strictly smaller than one. Under the mild additional assumption lim infr→0+ w(r) > 0, we show that the principle fails whenever 0 < p < 1 |
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