Measure density and extendability of Sobolev functions
type: Item
instance of: scholarly article
title: Measure density and extendability of Sobolev functions
zbMATH Open document ID: 1226.46029
DOI: 10.4171/RMI/551
author: Piotr Hajłasz
author: Pekka Koskela
author: Heli Tuominen
published in: Revista Matemática Iberoamericana
publication date: 2008-11-05T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmi/1218475358
review text: Summary: We study necessary and sufficient conditions for a domain to be a Sobolev extension domain in the setting of metric measure spaces. In particular, we prove that extension domains must satisfy a measure density condition.
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 30L99
zbMATH DE Number: 5361878
zbMATH Keywords: Sobolev extension
zbMATH Keywords: doubling measure
Wikidata QID: Q109992693
MaRDI profile type: Publication
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OpenAlex ID: W2077854681
description: scientific article; zbMATH DE number 5361878