Constructing diffeomorphisms and homeomorphisms with prescribed derivative
| dc.contributor.author | Goldstein, Paweł | |
| dc.contributor.author | Grochulska, Zofia | |
| dc.contributor.author | Hajłasz, Piotr | |
| dc.date.accessioned | 2024-11-27T08:34:03Z | |
| dc.date.available | 2024-11-27T08:34:03Z | |
| dc.date.issued | 2025 | |
| dc.identifier.citation | Goldstein, P., Grochulska, Z., & Hajłasz, P. (2025). Constructing diffeomorphisms and homeomorphisms with prescribed derivative. <i>Advances in Mathematics</i>, <i>460</i>, Article 110020. <a href="https://doi.org/10.1016/j.aim.2024.110020" target="_blank">https://doi.org/10.1016/j.aim.2024.110020</a> | |
| dc.identifier.other | CONVID_244184550 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/98640 | |
| dc.description.abstract | We prove that for any measurable mapping T into the space of matrices with positive determinant, there is a diffeomorphism whose derivative equals T outside a set of measure less than ε. We use this fact to prove that for any measurable mapping T into the space of matrices with non-zero determinant (with no sign restriction), there is an almost everywhere approximately differentiable homeomorphism whose derivative equals T almost everywhere. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Advances in Mathematics | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | approximate differentiability | |
| dc.subject.other | homeomorphisms | |
| dc.subject.other | drescribed derivative | |
| dc.title | Constructing diffeomorphisms and homeomorphisms with prescribed derivative | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202411277464 | |
| 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.relation.issn | 0001-8708 | |
| dc.relation.volume | 460 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2024 The Author(s). Published by Elsevier Inc. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.subject.yso | mittateoria | |
| dc.subject.yso | differentiaalilaskenta | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p13386 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p7856 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1016/j.aim.2024.110020 | |
| jyx.fundinginformation | P.G. and Z.G. were supported by NCN grant no 2019/35/B/ST1/02030. P.H. was supported by NSF grant DMS-2055171 and by Simons Foundation grant 917582. Piotr Hajłasz stay in Warsaw received funding from the University of Warsaw via the IDUB project (Excellence Initiative Research University) as part of the Thematic Research Programme Analysis and Geometry. | |
| dc.type.okm | A1 |
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