A characterization of domains quasiconformally equivalent to the unit ball
type: Item
instance of: scholarly article
title: A characterization of domains quasiconformally equivalent to the unit ball
zbMATH Open document ID: 0805.30015
author: Nathan Soderborg
published in: Michigan Mathematical Journal
publication date: 1994-11-06T00:00:00Z
review text: It is an open question whether two Euclidean domains are quasiconformally equivalent whenever their Royden compactifications are homeomorphic. This paper settles the question affirmatively for the special case in which one of the domains is the unit ball and thus provides a form of the Riemann mapping theorem for higher dimensions. An example is presented which clarifies the structure of the Royden compactification of a typical domain not quasiconformally equivalent to the unit ball.
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 682549
zbMATH Keywords: Royden algebra
zbMATH Keywords: Royden compactifications
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029005002
OpenAlex ID: W2088706320
DOI: 10.1307/MMJ/1029005002
description: scientific article; zbMATH DE number 682549