Robin capacity and extremal length
type: Item
instance of: scholarly article
title: Robin capacity and extremal length
zbMATH Open document ID: 0797.31009
author: Peter Duren
author: John A. Pfaltzgraff
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-10-19T00:00:00Z
full work available at URL: http://hdl.handle.net/2027.42/30533
review text: The paper deals with the Robin capacity. At first in some examples the Robin capacity is computed explicitly. It is shown that if \(\Omega,\widetilde{\Omega} \subset \overline{\mathbb{C}}\), are smoothly bounded finitely connected domains with a common boundary set \(A\), \(\Omega\subset \widetilde{\Omega}\), then \(\delta(A)\leq \widetilde{\delta}(A)\), where \(\delta(A)\) denotes the Robin capacity of \(A\) with respect to \(\Omega\) and \(\widetilde{\delta} (A)\) is the Robin capacity of \(A\) with respect to \(\widetilde{\Omega}\). Further it is shown that if \(A\subset \widetilde{A}\) are closed subsets of \(\partial\Omega\), then \(\delta(A)\leq \delta(\widetilde{A})\).
Mathematics Subject Classification ID: 31C15
Mathematics Subject Classification ID: 30C85
zbMATH DE Number: 495323
zbMATH Keywords: extremal length
zbMATH Keywords: Robin capacity
reviewed by: Miroslav Dont
MaRDI profile type: Publication
OpenAlex ID: W1964824337
DOI: 10.1006/JMAA.1993.1338
description: scientific article; zbMATH DE number 495323