Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/96731| Title: | Hankel operators on standard Bergman spaces |
| Author: | Pau, Jordi |
| Keywords: | Funcions de variables complexes Funcions analítiques Operadors lineals Nuclis de Bergman Functions of complex variables Analytic functions Linear operators Bergman kernel functions |
| Issue Date: | 2013 |
| Publisher: | Springer Verlag |
| Abstract: | 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. |
| Note: | Versió postprint del document publicat a: http://dx.doi.org/10.1007/s11785-011-0209-3 |
| It is part of: | Complex Analysis and Operator Theory, 2013, vol. 7, num. 4, p. 1239-1256 |
| URI: | http://hdl.handle.net/2445/96731 |
| Related resource: | http://dx.doi.org/10.1007/s11785-011-0209-3 |
| ISSN: | 1661-8254 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 605223.pdf | 343.5 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.