The transfinite moduli of condensers in space
type: Item
instance of: scholarly article
title: The transfinite moduli of condensers in space
zbMATH Open document ID: 0627.31001
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1988-01-01T00:00:00Z
review text: The authors prove the equality of the transfinite \(\alpha\)-modulus and the discrete \(\alpha\)-modulus of a condenser in p-space, \(0<\alpha \leq p\), \(p\geq 3\). Two extremal properties for the transfinite modulus of the Teichmüller ring are deduced from an expansion-contraction property of condensers. For the important examples of the spherical annulus and a ring of Grötzsch type in p-space, \(p\geq 3\), the transfinite p-modulus is compared with the conformal modulus.
Mathematics Subject Classification ID: 31B15
Mathematics Subject Classification ID: 30C62
Mathematics Subject Classification ID: 28A33
Mathematics Subject Classification ID: 31B05
zbMATH DE Number: 4019430
zbMATH Keywords: extremal properties
zbMATH Keywords: transfinite modulus
zbMATH Keywords: Teichmüller ring
zbMATH Keywords: expansion- contraction property
zbMATH Keywords: condensers
zbMATH Keywords: conformal modulus
zbMATH Keywords: discrete modulus
zbMATH Keywords: conformal capacity
zbMATH Keywords: Grötzsch ring
author: G. D. Anderson
author: M. K. Vamanamurthy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178228074
OpenAlex ID: W2036579240
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DOI: 10.2748/TMJ/1178228074
description: scientific article; zbMATH DE number 4019430