Bi-Sobolev Extensions

Koski, Aleksis; Onninen, Jani

doi:10.1007/s12220-023-01363-1

dc.contributor.author	Koski, Aleksis
dc.contributor.author	Onninen, Jani
dc.date.accessioned	2023-07-10T07:43:40Z
dc.date.available	2023-07-10T07:43:40Z
dc.date.issued	2023
dc.identifier.citation	Koski, A., & Onninen, J. (2023). Bi-Sobolev Extensions. <i>Journal of Geometric Analysis</i>, <i>33</i>(9), Article 301. <a href="https://doi.org/10.1007/s12220-023-01363-1" target="_blank">https://doi.org/10.1007/s12220-023-01363-1</a>
dc.identifier.other	CONVID_183855352
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/88340
dc.description.abstract	We give a full characterization of circle homeomorphisms which admit a homeomorphic extension to the unit disk with finite bi-Sobolev norm. As a special case, a bi-conformal variant of the famous Beurling–Ahlfors extension theorem is obtained. Furthermore we show that the existing extension techniques such as applying either the harmonic or the Beurling–Ahlfors operator work poorly in the degenerated setting. This also gives an affirmative answer to a question of Karafyllia and Ntalampekos.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer
dc.relation.ispartofseries	Journal of Geometric Analysis
dc.rights	CC BY 4.0
dc.subject.other	Sobolev homeomorphisms
dc.subject.other	Sobolev extensions
dc.subject.other	Beurling-Ahlfors extension
dc.subject.other	harmonic extension
dc.subject.other	quasiconformal mapping and mapping of finite distortion
dc.title	Bi-Sobolev Extensions
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202307104467
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	1050-6926
dc.relation.numberinseries	9
dc.relation.volume	33
dc.type.version	publishedVersion
dc.rights.copyright	© The Author(s) 2023
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	kvasikonformikuvaukset
dc.subject.yso	funktioteoria
dc.subject.yso	funktionaalianalyysi
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p39799
jyx.subject.uri	http://www.yso.fi/onto/yso/p18494
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s12220-023-01363-1
jyx.fundinginformation	Open Access funding provided by Aalto University.
dc.type.okm	A1