C^n空间拟可递有界域的两个性质

Two Characters of Quasi-homoqeneous Bounded Domain in C^n Space

本文引入拟可递有界域的概念,它是可递城的一种推广形式,并证明了拟可递有界城其Bergmann度量是完备的,在此城上Schwarz常数存在。这些结果是可递城上相应性质的推广。

The concept of quasi-homoqeneous domain is introduced in this paper. The quasi-homoqeneous domain is a form of spreading homoqeneous domain. It proves that the Bergmann metric of quasi-homoqeneous domain is complete and the Sshwarz constant exists in the domain. These results are the same as the spread of homoqeneous domain.