Weak factorization and Hankel forms on weighted Bergman spaces in the unit ball
We establish weak factorizations for a weighted Bergman space $A_a^p$ with $1<p<\infty$ into two weighted Bergman spaces on the unit ball of $\mathbb{C}^n$. To obtain this result, we characterize bounded Hankel forms on weighted Bergman spaces on the unit ball of $\mathbb{C}^n$.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2015 |
| 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:2445/96751 |
| Acceso en línea: | https://hdl.handle.net/2445/96751 |
| Access Level: | acceso abierto |
| Palabra clave: | Funcions holomorfes Funcions de diverses variables complexes Teoria d'operadors Operadors lineals Holomorphic functions Functions of several complex variables Operator theory Linear operators |
| Sumario: | We establish weak factorizations for a weighted Bergman space $A_a^p$ with $1<p<\infty$ into two weighted Bergman spaces on the unit ball of $\mathbb{C}^n$. To obtain this result, we characterize bounded Hankel forms on weighted Bergman spaces on the unit ball of $\mathbb{C}^n$. |
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