Remarks on Martio’s conjecture
| dc.contributor.author | Tengvall, Ville | |
| dc.date.accessioned | 2022-12-13T11:58:47Z | |
| dc.date.available | 2022-12-13T11:58:47Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Tengvall, V. (2022). Remarks on Martio’s conjecture. <i>Mathematica Scandinavica</i>, <i>128</i>(3), 534-552. <a href="https://doi.org/10.7146/math.scand.a-132257" target="_blank">https://doi.org/10.7146/math.scand.a-132257</a> | |
| dc.identifier.other | CONVID_103463188 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/84346 | |
| dc.description.abstract | We introduce a certain integrability condition for the reciprocal of the Jacobian determinant whichguarantees the local homeomorphism property of quasiregular mappings with a small inner dilata-tion. This condition turns out to be sharp in the planar case. We also show that every branch pointof a quasiregular mapping with a small inner dilatation is a Lebesgue point of the differentialmatrix of the mapping. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Aarhus Universitet | |
| dc.relation.ispartofseries | Mathematica Scandinavica | |
| dc.rights | In Copyright | |
| dc.title | Remarks on Martio’s conjecture | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202212135603 | |
| 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 | 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.format.pagerange | 534-552 | |
| dc.relation.issn | 0025-5521 | |
| dc.relation.numberinseries | 3 | |
| dc.relation.volume | 128 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Aarhus Universitet, 2022 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | matematiikka | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.7146/math.scand.a-132257 | |
| jyx.fundinginformation | This work was supported by the Academy of Finland, project number 308759. | |
| dc.type.okm | A1 |
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