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 | research 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.type.publication | article | |
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 | |