Hankel operators on standard Bergman spaces
We study Hankel operators on the standard Bergman spaces $A^{2}_{\alpha}, \alpha > -1$. A description of the boundedness and compactness of the (big) Hankel operator $H_f$ with general symbols $f \in L^2 (\mathbb{D}, d A_\alpha)$ is obtained. Also, we provide a new proof of a result of Arazy-Fish...
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2013 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/96731 |
| Online Access: | https://hdl.handle.net/2445/96731 |
| Access Level: | Open access |
| Keyword: | Funcions de variables complexes Funcions analítiques Operadors lineals Nuclis de Bergman Functions of complex variables Analytic functions Linear operators Bergman kernel functions |
| Summary: | We study Hankel operators on the standard Bergman spaces $A^{2}_{\alpha}, \alpha > -1$. A description of the boundedness and compactness of the (big) Hankel operator $H_f$ with general symbols $f \in L^2 (\mathbb{D}, d A_\alpha)$ is obtained. Also, we provide a new proof of a result of Arazy-Fisher-Peetre on the membership in Schatten $p$-classes of Hankel operators with conjugate analytic symbols. |
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