  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).
