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dc.contributor.authorXu, Haiqing
dc.date.accessioned2020-01-20T07:53:25Z
dc.date.available2020-01-20T07:53:25Z
dc.date.issued2021
dc.identifier.citationXu, H. (2021). Optimal Extensions of Conformal Mappings from the Unit Disk to Cardioid-Type Domains. <i>Journal of Geometric Analysis</i>, <i>31</i>(3), 2296-2330. <a href="https://doi.org/10.1007/s12220-019-00340-x" target="_blank">https://doi.org/10.1007/s12220-019-00340-x</a>
dc.identifier.otherCONVID_34159634
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/67370
dc.description.abstractThe conformal mapping f(z)=(z+1)2 from D onto the standard cardioid has a homeomorphic extension of finite distortion to entire R2. We study the optimal regularity of such extensions, in terms of the integrability degree of the distortion and of the derivatives, and these for the inverse. We generalize all outcomes to the case of conformal mappings from D onto cardioid-type domains.en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesJournal of Geometric Analysis
dc.rightsCC BY 4.0
dc.subject.otherextensions
dc.subject.otherhomeomorphisms of finite distortion
dc.subject.otherinner cusp
dc.titleOptimal Extensions of Conformal Mappings from the Unit Disk to Cardioid-Type Domains
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202001201310
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange2296-2330
dc.relation.issn1050-6926
dc.relation.numberinseries3
dc.relation.volume31
dc.type.versionpublishedVersion
dc.rights.copyright© 2020 the Author(s)
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber307333 HY
dc.subject.ysoanalyyttinen geometria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p19371
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s12220-019-00340-x
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundinginformationOpen access funding provided by University of Jyväskylä (JYU). The author has been supported by China Scholarship Council (project No.201706340060) and Academy of Finland via the Centre of Excellence in Analysis and Dynamics Research (Grant No. 307333).
dc.type.okmA1


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