Manifolds of holomorphic mappings from strongly pseudoconvex domains
| dc.creator | Forstneric, Franc | |
| dc.date | 2006-09-25 | |
| dc.date | 2008-10-15 | |
| dc.date.accessioned | 2026-07-07T10:10:03Z | |
| dc.date.available | 2026-07-07T10:10:03Z | |
| dc.description | Let D be a bounded strongly pseudoconvex domain in a Stein manifold S and let Y be a complex manifold. We prove that the graph of any continuous map from the closure of D to Y which is holomorphic in D admits a basis of open Stein neighborhoods in S x Y. Using this we show that many classical spaces of maps from the closure of D to Y which are holomorphic in D are infinite dimensional complex manifolds which are modeled on locally convex topological vector spaces (Banach, Hilbert or Frechet). | |
| dc.identifier | https://arxiv.org/abs/math/0609706 | |
| dc.identifier | http://arxiv.org/abs/math/0609706 | |
| dc.identifier | Asian J. Math. 11 (2007), no. 1, 113-126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171507 | |
| dc.subject | Complex Variables | |
| dc.subject | Functional Analysis | |
| dc.subject | 32E10, 32E30, 32H02, 46G20, 46T10, 54C35, 58B12, 58D15 | |
| dc.title | Manifolds of holomorphic mappings from strongly pseudoconvex domains | |
| dc.type | text |