Optimal Extensions of Conformal Mappings from the Unit Disk to Cardioid-Type Domains

Xu, Haiqing

doi:10.1007/s12220-019-00340-x

dc.contributor.author	Xu, Haiqing
dc.date.accessioned	2020-01-20T07:53:25Z
dc.date.available	2020-01-20T07:53:25Z
dc.date.issued	2021
dc.identifier.citation	Xu, 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.other	CONVID_34159634
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/67370
dc.description.abstract	The 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.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	Springer
dc.relation.ispartofseries	Journal of Geometric Analysis
dc.rights	CC BY 4.0
dc.subject.other	extensions
dc.subject.other	homeomorphisms of finite distortion
dc.subject.other	inner cusp
dc.title	Optimal Extensions of Conformal Mappings from the Unit Disk to Cardioid-Type Domains
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202001201310
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	2296-2330
dc.relation.issn	1050-6926
dc.relation.numberinseries	3
dc.relation.volume	31
dc.type.version	publishedVersion
dc.rights.copyright	© 2020 the Author(s)
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	307333 HY
dc.subject.yso	analyyttinen geometria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p19371
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s12220-019-00340-x
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Centre of Excellence, AoF	en
jyx.fundingprogram	Huippuyksikkörahoitus, SA	fi
jyx.fundinginformation	Open 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.okm	A1