Uniform domains and capacity
type: Item
instance of: scholarly article
title: Uniform domains and capacity
zbMATH Open document ID: 1123.30012
author: S. M. Buckley
author: David A. Herron
published in: Israel Journal of Mathematics
publication date: 2007-09-03T00:00:00Z
review text: Since the 1960's some particular classes of domains, such as John domains and quasiconformal images of disks, have been studied extensively. These classes have played an important role in geometric function theory, because several theorems, previously known for quasiconformal mappings of the unit disk can be extended to such more general domains. The authors study uniform domains in the Euclidean \(n\)-space and give a characterization in terms of geometric-potential theoretic conditions. Whitney cubes, moduli of curve families, and conformal capacities are among the key tools.
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 5186235
zbMATH Keywords: uniform domains
reviewed by: M. Vuorinen
MaRDI profile type: Publication
full work available at URL: s11856-007-0007-9
OpenAlex ID: W2149352190
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DOI: 10.1007/S11856-007-0007-9
description: scientific article; zbMATH DE number 5186235