APPROXIMATION BY HOLOMORPHIC FUNCTIONS ON PSEUDOCONVEX COMPLEX MANIFOLDS

  • Lee, Jinkee (Department of Mathematics, Pusan National University, Pusan 609-735) ;
  • Cho, Hong-Rae (Department of Mathematics, Pusan National University, Pusan 609-735)
  • Published : 1995.08.01

Abstract

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]).