Strong BV-extension and W1,1-extension domains

García-Bravo, Miguel; Rajala, Tapio

doi:10.1016/j.jfa.2022.109665

dc.contributor.author	García-Bravo, Miguel
dc.contributor.author	Rajala, Tapio
dc.date.accessioned	2022-08-25T05:40:37Z
dc.date.available	2022-08-25T05:40:37Z
dc.date.issued	2022
dc.identifier.citation	García-Bravo, M., & Rajala, T. (2022). Strong BV-extension and W1,1-extension domains. <i>Journal of Functional Analysis</i>, <i>283</i>(10), Article 109665. <a href="https://doi.org/10.1016/j.jfa.2022.109665" target="_blank">https://doi.org/10.1016/j.jfa.2022.109665</a>
dc.identifier.other	CONVID_151045985
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/82808
dc.description.abstract	We show that a bounded domain in a Euclidean space is a W1,1-extension domain if and only if it is a strong BV-extension domain. In the planar case, bounded and strong BV-extension domains are shown to be exactly those BV-extension domains for which the set ∂Ω∖⋃iΩ‾i is purely 1-unrectifiable, where Ωi are the open connected components of R2∖Ω‾.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Elsevier
dc.relation.ispartofseries	Journal of Functional Analysis
dc.rights	CC BY 4.0
dc.subject.other	Sobolev extension
dc.subject.other	BV-extension
dc.title	Strong BV-extension and W1,1-extension domains
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202208254341
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	en
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	0022-1236
dc.relation.numberinseries	10
dc.relation.volume	283
dc.type.version	publishedVersion
dc.rights.copyright	© 2022 The Author(s). Published by Elsevier Inc.
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	314789
dc.subject.yso	matematiikka
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p3160
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1016/j.jfa.2022.109665
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	The authors acknowledge the support from the Academy of Finland, grant no. 314789
dc.type.okm	A1