A remark on Carathéodory balls
type: Item
instance of: scholarly article
title: A remark on Carathéodory balls
zbMATH Open document ID: 0728.32014
DOI: 10.1007/BF01193529
author: Peter Pflug
author: Marek Jarnicki
author: Jean-Pierre Vigué
published in: Archiv der Mathematik
publication date: 1992-01-01T00:00:00Z
review text: This note presents examples of very regular pseudoconvex domains in \({\mathbb{C}}^ n\), \(n\geq 2\), for which, in general, the closure of an open Carathéodory ball is different from the corresponding closed Carathéodory ball. The case of plane domains remains open.
reviewed by: Peter Pflug
Mathematics Subject Classification ID: 32F45
zbMATH DE Number: 4202699
zbMATH Keywords: Carathéodory pseudodistance
zbMATH Keywords: c-hyperbolic connected
zbMATH Keywords: Riemann surface
MaRDI profile type: Publication
cites work: The maximal ideal space of the bounded analytic functions on a Riemann surface
cites work: La métrique de Kobayashi et la représentation des domaines sur la boule
cites work: Prolongement des fonctions holomorphes bornees et métrique de Caratheodory
cites work: A characterization of the polydisc
cites work: Q3949259
full work available at URL: https://doi.org/10.1007/bf01193529
OpenAlex ID: W1980617599
description: scientific article; zbMATH DE number 4202699