Sur Les Suites D'Interpolation Pour Les Espaces De Bergman a Poids Dans la Boule De $\mathbb{C}^n$}
| dc.creator | Hasnaoui, Abdelkader El | |
| dc.date | 2008-07-01 | |
| dc.date.accessioned | 2026-07-07T09:47:38Z | |
| dc.date.available | 2026-07-07T09:47:38Z | |
| dc.description | Let $A$ be a sequence of points of $\mathbb{B}^n$ the unit ball in $\mathbb{C}^n.$ In terms of interpolating vectorial function (or Amar's function)[1], we give a necessary condition on $A$ to be interpolating for the weighted Bergman space $B^p_α(\mathbb{B}^n). In the particular case of Hardy space $H^p (\mathbb{B}^2)$, this condition is sufficient no optimal. In the main theorem proof, we resolve Gleason's problem (vectorial form) in $B^p_α(\mathbb{B}^n)$ | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/0807.0154 | |
| dc.identifier | http://arxiv.org/abs/0807.0154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163953 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A25 (Primary); 32A36, 65B10 (Secondary) | |
| dc.title | Sur Les Suites D'Interpolation Pour Les Espaces De Bergman a Poids Dans la Boule De $\mathbb{C}^n$} | |
| dc.type | text |