On the holomorphic automorphism group of the Bergman-Hartogs domain

摘要

The Bergman-Hartogs domain which can be regarded as a generalization of the Cartan-Hartogs domain provides a large class of bounded pseudoconvex domains which are in general nonhomogeneous. Since the geometry of a domain is determined by its automorphism group to a certain extent, it is meaningful to study the structure of the automorphism group. In this paper, we completely determine the structure of the holomorphic automorphism group of the Bergman-Hartogs domain over a minimal homogeneous domain with center at the origin.