# Estimates of invariant metrics on some pseudoconvex domains in $C^N$

• Cho, Sang-Hyun
• Published : 1995.11.01
• 24 7

#### Abstract

In this paper we will estimate from above and below the values of the Bergman, Caratheodory and Kobayashi metrics for a vector X at z, where z is any point near a given point $z_0$ in the boundary of pseudoconvex domains in $C^n$.

#### Keywords

Invariant metrices;Bergman kernel function;finite 1-type;plurisubharmonic functions