Theory of Bergman Spaces in the Unit Ball of $C^n$
| dc.creator | Zhao, Ruhan | |
| dc.creator | Zhu, Kehe | |
| dc.date | 2006-11-03 | |
| dc.date.accessioned | 2026-07-07T07:32:31Z | |
| dc.date.available | 2026-07-07T07:32:31Z | |
| dc.description | There has been a great deal of work done in recent years on weighted Bergman spaces $\apa$ on the unit ball $\bn$ of $\cn$, where $0<p<\infty$ and $α>-1$. We extend this study in a very natural way to the case where $α$ is {\em any} real number and $0<p\le\infty$. This unified treatment covers all classical Bergman spaces, Besov spaces, Lipschitz spaces, the Bloch space, the Hardy space $H^2$, and the so-called Arveson space. Some of our results about integral representations, complex interpolation, coefficient multipliers, and Carleson measures are new even for the ordinary (unweighted) Bergman spaces of the unit disk. | |
| dc.description | 83 pages, revised from 2005 manuscript | |
| dc.identifier | https://arxiv.org/abs/math/0611093 | |
| dc.identifier | http://arxiv.org/abs/math/0611093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119137 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A36; 32A18 | |
| dc.title | Theory of Bergman Spaces in the Unit Ball of $C^n$ | |
| dc.type | text |