A characterization of certain weakly pseudoconvex domains

Abstract

By making use of well-known extension theorems on holomorphic mappings and CR-mappings and applying Webster's CR-invariant metrics, we give a characterization of certain weakly pseudoconvex domains from the viewpoint of biholomorphic automorphism groups.Introduction. This is a continuation of our previous paper [11], and we retain the terminology and notation there.Let D be a bounded domain in C n and let pedD. Then we say that the condition (*) is fulfilled for (D,p) if there exists a compact set K in D, a sequence {k v } in K and a sequence {φ v } in Aut(D) such that Hm v ^oo φ v (k v )=p .