关于某类Reinhardt域的Bergman核函数与解析自同构最大群

Bergman kernel function and full group of holomorphic automorphism on a type of Reinhardt domain

本文给出了Ｒｅｉｎｈａｒｄｔ域Ｄ＝｛ｚ＝（ｚ１，ｚ２，ｚ３）∈：｜ｚ１｜２ｋ＋｜ｚ２｜＋｜ｚ３｜２＜１，ｋ＞０｝的Ｂｅｒｇｍａｎ核函数，Ｂｅｒｇｍａｎ度量方阵及其解析自同构最大群。

The Bergman kernel function, the Bergman metric square matix and full group of holomorphic automorphism on the domain D={z=(z1,z2, z3)∈ : |z1|2k+|z2|+|z3|2<1,k>0} are obtained this paper.