A modulus inequality for condensers and conformal invariants of smooth Jordan domains
type: Item
instance of: scholarly article
title: A modulus inequality for condensers and conformal invariants of smooth Jordan domains
zbMATH Open document ID: 0911.30017
DOI: 10.1007/BF02788698
author: Shanshuang Yang
published in: Journal d'Analyse Mathématique
publication date: 1999-05-16T00:00:00Z
review text: For a smooth Jordan domain \(\Omega\) in the plane it is shown that \(M(\Omega)< R(\Omega)+1\) except for a disk or a half plane. Here \(M(\Omega)\) and \(R(\Omega)\) are the quasiextremal distance constant and the quasiconformal reflection constant of \(\Omega\), respectively. The proof employs a special modulus inequality, whose proof is based on the discrete version for the conformal capacity [\textit{T. Bagby}, J. Math. Mech. 17, 315-329 (1967; Zbl 0163.35204)].
reviewed by: O. Martio
Mathematics Subject Classification ID: 30C62
zbMATH DE Number: 1221955
zbMATH Keywords: discrete capacity
zbMATH Keywords: quasiconformal reflection
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02788698
OpenAlex ID: W2071694991
description: scientific article; zbMATH DE number 1221955