Manifolds of holomorphic mappings from strongly pseudoconvex domains

Details Manifolds of holomorphic mappings from strongly pseudoconvex domains Manifolds of holomorphic mappings from strongly pseudoconvex domains

2006-09-25

arxiv.org/abs/math/0609706v3

Asian J. Math. 11 (2007), no. 1, 113-126

Mathematics

Complex Variables

Scientific paper

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).

Affiliated with

Also associated with

No associations

Rating

Manifolds of holomorphic mappings from strongly pseudoconvex domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Manifolds of holomorphic mappings from strongly pseudoconvex domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Manifolds of holomorphic mappings from strongly pseudoconvex domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-15710