Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorClop, A.en_US
dc.contributor.authorHitruhin, L.en_US
dc.contributor.authorSengupta, B.en_US
dc.contributor.departmentDepartment of Mathematics and Systems Analysisen
dc.contributor.organizationUniversity of Barcelonaen_US
dc.contributor.organizationAutonomous University of Barcelonaen_US
dc.date.accessioned2022-08-10T08:14:34Z
dc.date.available2022-08-10T08:14:34Z
dc.date.issued2022-08en_US
dc.description| openaire: EC/H2020/834728/EU//QUAMAP Funding Information A.C. and B.S. are partially supported by projects MTM2016-81703-ERC, MTM2016-75390 (Spanish Government) and 2017SGR395 (Catalan Government). L.H. was partially supported by ICMAT Severo Ochoa project SEV-2015-0554 grant MTM2017-85934-C3-2-P, the ERC grant 307179-GFTIPFD, the ERC grant 834728 Quamap, by the Finnish Academy of Science project 13316965 and by a grant from The Emil Aaltonen Foundation. Publisher Copyright: © 2022, The Author(s).
dc.description.abstractWe obtain sharp rotation bounds for the subclass of homeomorphisms f: C→ C of finite distortion which have distortion function in Llocp, p> 1 , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby presented improve the existing ones, for which the Hölder continuity is not assumed. We also present examples proving sharpness.en
dc.description.versionPeer revieweden
dc.format.extent21
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationClop, A, Hitruhin, L & Sengupta, B 2022, 'Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion', Journal of Geometric Analysis, vol. 32, no. 8, 212, pp. 1-21. https://doi.org/10.1007/s12220-022-00950-yen
dc.identifier.doi10.1007/s12220-022-00950-yen_US
dc.identifier.issn1050-6926
dc.identifier.issn1559-002X
dc.identifier.otherPURE UUID: 197b2e46-0ac6-4e06-b17d-f6ba7e6c90eben_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/197b2e46-0ac6-4e06-b17d-f6ba7e6c90eben_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/85543529/Rotation_Bounds_for_H_lder_Continuous_Homeomorphisms_with_Integrable_Distortion.pdf
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/115683
dc.identifier.urnURN:NBN:fi:aalto-202208104505
dc.language.isoenen
dc.publisherSpringer
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/834728/EU//QUAMAP Funding Information A.C. and B.S. are partially supported by projects MTM2016-81703-ERC, MTM2016-75390 (Spanish Government) and 2017SGR395 (Catalan Government). L.H. was partially supported by ICMAT Severo Ochoa project SEV-2015-0554 grant MTM2017-85934-C3-2-P, the ERC grant 307179-GFTIPFD, the ERC grant 834728 Quamap, by the Finnish Academy of Science project 13316965 and by a grant from The Emil Aaltonen Foundation. Publisher Copyright: © 2022, The Author(s).en_US
dc.relation.fundinginfoA.C. and B.S. are partially supported by projects MTM2016-81703-ERC, MTM2016-75390 (Spanish Government) and 2017SGR395 (Catalan Government). L.H. was partially supported by ICMAT Severo Ochoa project SEV-2015-0554 grant MTM2017-85934-C3-2-P, the ERC grant 307179-GFTIPFD, the ERC grant 834728 Quamap, by the Finnish Academy of Science project 13316965 and by a grant from The Emil Aaltonen Foundation.
dc.relation.ispartofseriesJournal of Geometric Analysisen
dc.relation.ispartofseriesVolume 32, issue 8, pp. 1-21en
dc.rightsopenAccessen
dc.subject.keywordMappings of finite distortionen_US
dc.subject.keywordQuasiconformal mapsen_US
dc.subject.keywordRotation boundsen_US
dc.titleRotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortionen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion

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