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http://hdl.handle.net/2445/102130| Title: | Characterization of Schatten class Hankel operators on weighted Bergman spaces |
| Author: | Pau, Jordi |
| Keywords: | 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 |
| Issue Date: | 23-Jun-2016 |
| Publisher: | Duke University Press |
| Abstract: | 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. |
| Note: | Reproducció del document publicat a: http://dx.doi.org/10.1215/00127094-3627310 |
| It is part of: | Duke Mathematical Journal, 2016 |
| URI: | http://hdl.handle.net/2445/102130 |
| Related resource: | http://dx.doi.org/10.1215/00127094-3627310 |
| ISSN: | 0012-7094 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 658911.pdf | 159.14 kB | Adobe PDF | View/Open |
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