Uniform domains close to a ball
type: Item
instance of: scholarly article
title: Uniform domains close to a ball
zbMATH Open document ID: 1244.30042
DOI: 10.1134/S0037446611050181
published in: Siberian Mathematical Journal
publication date: 2012-03-07T00:00:00Z
review text: In the paper under review the authors present a few geometric properties of the uniform domains using Möbius-invariant definitions. The main result is that, for large angles without additional constraints, the property of homogeneity of a domain for pairs of boundary points is equivalent to the property for all pairs of points in the domain and the points of the complement. The initial definition of uniform domains by Martio and Sarvas does not make it possible to describe the domains close to a ball.
reviewed by: Yu-Ming Chu
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 6012547
zbMATH Keywords: uniform domain
zbMATH Keywords: quasidisk
zbMATH Keywords: John domain
zbMATH Keywords: quasiconformal mapping
zbMATH Keywords: stability
author: Dmitrĭ Aleksandrovich Trotsenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6012547