Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces

García-Bravo, Miguel; Rajala, Tapio; Takanen, Jyrki

doi:10.1007/s11118-023-10086-5

dc.contributor.author	García-Bravo, Miguel
dc.contributor.author	Rajala, Tapio
dc.contributor.author	Takanen, Jyrki
dc.date.accessioned	2023-09-05T07:47:18Z
dc.date.available	2023-09-05T07:47:18Z
dc.date.issued	2024
dc.identifier.citation	García-Bravo, M., Rajala, T., & Takanen, J. (2024). Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces. <i>Potential Analysis</i>, <i>60</i>(3), 1249-1270. <a href="https://doi.org/10.1007/s11118-023-10086-5" target="_blank">https://doi.org/10.1007/s11118-023-10086-5</a>
dc.identifier.other	CONVID_184551668
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/88881
dc.description.abstract	We prove an estimate on the Hausdorff dimension of the set of two-sided boundary points of general Sobolev extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates of this type.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer
dc.relation.ispartofseries	Potential Analysis
dc.rights	CC BY 4.0
dc.subject.other	Sobolev spaces
dc.subject.other	extension domains
dc.subject.other	two-sided points
dc.subject.other	Hausdorff dimension
dc.title	Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202309054915
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.format.pagerange	1249-1270
dc.relation.issn	0926-2601
dc.relation.numberinseries	3
dc.relation.volume	60
dc.type.version	publishedVersion
dc.rights.copyright	© The Author(s) 2023
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	314789
dc.subject.yso	funktionaalianalyysi
dc.subject.yso	mittateoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s11118-023-10086-5
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	Open Access funding provided by University of Jyväskylä (JYU). The authors of this manuscript have received financial support from the Academy of Finland, grant no. 314789.
dc.type.okm	A1