dc.contributor.author | Campbell, Daniel | |
dc.contributor.author | Kauranen, Aapo | |
dc.contributor.author | Radici, Emanuela | |
dc.date.accessioned | 2024-08-30T10:05:32Z | |
dc.date.available | 2024-08-30T10:05:32Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Campbell, D., Kauranen, A., & Radici, E. (2023). Minimal extension for the α-Manhattan norm. <i>Rendiconti Lincei: Matematica e Applicazioni</i>, <i>34</i>(4), 773-807. <a href="https://doi.org/10.4171/rlm/1027" target="_blank">https://doi.org/10.4171/rlm/1027</a> | |
dc.identifier.other | CONVID_202018689 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/96887 | |
dc.description.abstract | Let ∂Q be the boundary of a convex polygon in R2, eα=(cosα,sinα) and eα⊥=(−sinα,cosα) a basis of R2 for some α∈[0,2π) and φ:∂Q→R2 a continuous, finitely piecewise linear injective map. We construct a finitely piecewise affine homeomorphism v:Q→R2 coinciding with φ on ∂Q such that the following property holds: ∣⟨Dv,eα⟩∣(Q) (resp., ⟨Dv,eα⊥⟩∣(Q)) is as close as we want to inf∣⟨Du,eα⟩∣(Q) (resp., inf∣⟨Du,eα⊥⟩∣(Q)) where the infimum is meant over the class of all BV homeomorphisms u extending φ inside Q. This result extends that already proven by Pratelli and the third author in [Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 29 (2018), no. 3, 511–555] in the shape of the domain. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | European Mathematical Society - EMS - Publishing House GmbH | |
dc.relation.ispartofseries | Rendiconti Lincei: Matematica e Applicazioni | |
dc.rights | CC BY 4.0 | |
dc.title | Minimal extension for the α-Manhattan norm | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202408305769 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | 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 | 773-807 | |
dc.relation.issn | 1120-6330 | |
dc.relation.numberinseries | 4 | |
dc.relation.volume | 34 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2024 Accademia Nazionale dei Lincei | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | funktionaalianalyysi | |
dc.subject.yso | funktioteoria | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p18494 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.4171/rlm/1027 | |
jyx.fundinginformation | The first author was supported by the grant GACR 20-19018Y. | |
dc.type.okm | A1 | |