Peak functions and boundary behaviour of holomorphically invariant distances on strictly pseudoconvex domains

Abstract

We give a parameter version of Graham-Kerzman approximation theorem for bounded holomorphic functions on strictly pseudoconvex domains. As an application, we present some uniform estimates for the boundary behaviour of the Kobayashi and Carathéodory pseudodistences on such domains.

References in corpus (1)

• Families of strictly pseudoconvex domains and peak functions