dc.contributor.author | Koski, Aleksis | |
dc.contributor.author | Onninen, Jani | |
dc.date.accessioned | 2023-08-24T07:17:27Z | |
dc.date.available | 2023-08-24T07:17:27Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Koski, A., & Onninen, J. (2021). Sobolev homeomorphic extensions. <i>Journal of the European Mathematical Society</i>, <i>23</i>(12), 4065-4089. <a href="https://doi.org/10.4171/JEMS/1099" target="_blank">https://doi.org/10.4171/JEMS/1099</a> | |
dc.identifier.other | CONVID_99125093 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/88662 | |
dc.description.abstract | Let X and Y be ℓ-connected Jordan domains, ℓ∈N, with rectifiable boundaries in the complex plane. We prove that any boundary homeomorphism φ:∂X→∂Y admits a Sobolev homeomorphic extension h:X¯→Y¯ in W1,1(X,C). If instead X has s-hyperbolic growth with s>p−1, we show the existence of such an extension in the Sobolev class W1,p(X,C) for p∈(1,2). Our examples show that the assumptions of rectifiable boundary and hyperbolic growth cannot be relaxed. We also consider the existence of W1,2-homeomorphic extensions with given boundary data. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | European Mathematical Society | |
dc.relation.ispartofseries | Journal of the European Mathematical Society | |
dc.rights | CC BY 4.0 | |
dc.subject.other | Sobolev homeomorphisms | |
dc.subject.other | Sobolev extensions | |
dc.subject.other | Douglas condition | |
dc.title | Sobolev homeomorphic extensions | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202308244752 | |
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 | 4065-4089 | |
dc.relation.issn | 1435-9855 | |
dc.relation.numberinseries | 12 | |
dc.relation.volume | 23 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2021 European Mathematical Society | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | funktionaalianalyysi | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.4171/JEMS/1099 | |
dc.type.okm | A1 | |