Dimension estimates for the boundary of planar Sobolev extension domains

Lučić, Danka; Rajala, Tapio; Takanen, Jyrki

doi:10.1515/acv-2021-0042

dc.contributor.author	Lučić, Danka
dc.contributor.author	Rajala, Tapio
dc.contributor.author	Takanen, Jyrki
dc.date.accessioned	2024-02-23T11:54:07Z
dc.date.available	2024-02-23T11:54:07Z
dc.date.issued	2023
dc.identifier.citation	Lučić, D., Rajala, T., & Takanen, J. (2023). Dimension estimates for the boundary of planar Sobolev extension domains. <i>Advances in Calculus of Variations</i>, <i>16</i>(2), 517-528. <a href="https://doi.org/10.1515/acv-2021-0042" target="_blank">https://doi.org/10.1515/acv-2021-0042</a>
dc.identifier.other	CONVID_102284769
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/93640
dc.description.abstract	We prove an asymptotically sharp dimension upper-bound for the boundary of bounded simply-connected planar Sobolev W1,pW1,p -extension domains via the weak mean porosity of the boundary. The sharpness of our estimate is shown by examples.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Walter de Gruyter GmbH
dc.relation.ispartofseries	Advances in Calculus of Variations
dc.rights	In Copyright
dc.subject.other	Sobolev extension
dc.subject.other	porosity
dc.subject.other	Hausdorff dimension
dc.title	Dimension estimates for the boundary of planar Sobolev extension domains
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202402232106
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Mathematics	en
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	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	517-528
dc.relation.issn	1864-8258
dc.relation.numberinseries	2
dc.relation.volume	16
dc.type.version	acceptedVersion
dc.rights.copyright	© 2023 De Gruyter
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	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1515/acv-2021-0042
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	All authors partially supported by the Academy of Finland, project 314789.
dc.type.okm	A1