The volume of the boundary of a Sobolev (p,q)-extension domain

Koskela, Pekka; Ukhlov, Alexander; Zhu, Zheng

doi:10.1016/j.jfa.2022.109703

dc.contributor.author	Koskela, Pekka
dc.contributor.author	Ukhlov, Alexander
dc.contributor.author	Zhu, Zheng
dc.date.accessioned	2023-02-02T10:47:01Z
dc.date.available	2023-02-02T10:47:01Z
dc.date.issued	2022
dc.identifier.citation	Koskela, P., Ukhlov, A., & Zhu, Z. (2022). The volume of the boundary of a Sobolev (p,q)-extension domain. <i>Journal of Functional Analysis</i>, <i>283</i>(12), Article 109703. <a href="https://doi.org/10.1016/j.jfa.2022.109703" target="_blank">https://doi.org/10.1016/j.jfa.2022.109703</a>
dc.identifier.other	CONVID_156503106
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/85308
dc.description.abstract	Let n≥2 and $1\leq q<p><\fz$. We prove that if Ω⊂Rn is a Sobolev (p,q)-extension domain, with additional capacitory restrictions on boundary in the case q≤n−1, n>2, then \|∂Ω\|=0. In the case 1≤q0.</p>	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Elsevier
dc.relation.ispartofseries	Journal of Functional Analysis
dc.rights	CC BY-NC-ND 4.0
dc.subject.other	Sobolev extension
dc.subject.other	boundary volume
dc.subject.other	capacity estimate
dc.subject.other	Ahlfors regular
dc.title	The volume of the boundary of a Sobolev (p,q)-extension domain
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202302021590
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	12
dc.relation.volume	283
dc.type.version	acceptedVersion
dc.rights.copyright	© 2022 Elsevier Inc. All rights reserved.
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	323960
dc.subject.yso	funktionaalianalyysi
dc.subject.yso	osittaisdifferentiaaliyhtälöt
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
jyx.subject.uri	http://www.yso.fi/onto/yso/p12392
dc.rights.url	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi	10.1016/j.jfa.2022.109703
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 first and third authors have been supported by the Academy of Finland (project No. 323960).
dc.type.okm	A1