Peak functions and boundary behaviour of holomorphically invariant distances on strictly pseudoconvex domains
Complex Variables
2017-07-13 v1
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 Carath\'eodory pseudodistences on such domains.
Keywords
Cite
@article{arxiv.1707.03752,
title = {Peak functions and boundary behaviour of holomorphically invariant distances on strictly pseudoconvex domains},
author = {Arkadiusz Lewandowski},
journal= {arXiv preprint arXiv:1707.03752},
year = {2017}
}