• Title/Summary/Keyword: Oka-Weil domains

Search Result 2, Processing Time 0.009 seconds

APPROXIMATION BY HOLOMORPHIC FUNCTIONS ON PSEUDOCONVEX COMPLEX MANIFOLDS

  • Lee, Jinkee;Cho, Hong-Rae
    • Bulletin of the Korean Mathematical Society
    • /
    • v.32 no.2
    • /
    • pp.259-263
    • /
    • 1995
  • The following classical Oka-Weil approximation theorem on pseudoconvex domains in $C^n$ is well-known. Suppose that $M \subseteq C^n$ is pseudoconvex and that K is a compact subset of M with K = K, where K is the usual holomorphic hull of K in M. Then any function holomorphic in a neighborhood of K can be approximated uniformly on K by functions holomorphic on M (see [5], [6]).

  • PDF