Interpolating sequences for the Bergman space and the $\bar\partial$-equation in weighted $L^p$
| dc.creator | Luecking, Daniel H. | |
| dc.date | 2003-11-20 | |
| dc.date | 2003-11-20 | |
| dc.date.accessioned | 2026-07-07T05:03:06Z | |
| dc.date.available | 2026-07-07T05:03:06Z | |
| dc.description | The author showed that a sequence in the unit disk is a zero sequence for the Bergman space $A^p$ if and only if a certain weighted space $L^p(W}$ contains a nontrivial analytic function. In this paper it is shown that the sequence is an interpolating sequence for $A^p$ if and only if it is separated in the hyperbolic metric and the $\bar\partial$-equation $(1 - |z|^2)\bar\partial u = f$ has a solution $u$ belonging to $L^p(W)$ for every $f$ in $L^p(W)$. | |
| dc.description | 23pages | |
| dc.identifier | https://arxiv.org/abs/math/0311360 | |
| dc.identifier | http://arxiv.org/abs/math/0311360 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69277 | |
| dc.subject | Complex Variables | |
| dc.subject | 30H05 (Primary) 30E05, 46E20 | |
| dc.title | Interpolating sequences for the Bergman space and the $\bar\partial$-equation in weighted $L^p$ | |
| dc.type | text |