Characterization of Schatten class Hankel operators on weighted Bergman spaces
We completely characterize the simultaneous membership in the Schatten ideals $S_{p,} 0 < p < \infty$ of the Hankel operators $H_{f}$ and $H_{\overline{f}}$ on the Bergman space, in terms of the behavior of a local mean oscillation function, proving a conjecture of Kehe Zhu from 1991.
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| 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:2445/102130 |
| Acceso en línea: | https://hdl.handle.net/2445/102130 |
| Access Level: | acceso abierto |
| Palabra clave: | Teoria d'operadors Operadors lineals Funcions de variables complexes Funcions de diverses variables complexes Operator theory Linear operators Functions of complex variables Functions of several complex variables |
| Sumario: | We completely characterize the simultaneous membership in the Schatten ideals $S_{p,} 0 < p < \infty$ of the Hankel operators $H_{f}$ and $H_{\overline{f}}$ on the Bergman space, in terms of the behavior of a local mean oscillation function, proving a conjecture of Kehe Zhu from 1991. |
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