Mappings of finite distortion : boundary extensions in uniform domains

Äkkinen, Tuomo; Guo, Changyu

doi:10.1007/s10231-016-0563-x

dc.contributor.author	Äkkinen, Tuomo
dc.contributor.author	Guo, Changyu
dc.date.accessioned	2017-11-30T09:51:02Z
dc.date.available	2017-11-30T09:51:02Z
dc.date.issued	2017
dc.identifier.citation	Äkkinen, T., & Guo, C. (2017). Mappings of finite distortion : boundary extensions in uniform domains. <i>Annali di Matematica Pura ed Applicata</i>, <i>196</i>(1), 65-83. <a href="https://doi.org/10.1007/s10231-016-0563-x" target="_blank">https://doi.org/10.1007/s10231-016-0563-x</a>
dc.identifier.other	CONVID_25593770
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/56057
dc.description.abstract	In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extended to the boundary and moreover these extensions are exponentially integrable with quantitative bounds. This extends previous results of Chang and Marshall [7] on analytic functions, Poggi-Corradini and Rajala [20] and Akkinen and Rajala [2] on mappings of bounded and finite distortion.
dc.language.iso	eng
dc.publisher	Springer
dc.relation.ispartofseries	Annali di Matematica Pura ed Applicata
dc.subject.other	quasiregular mappings
dc.subject.other	mappings of finite distortion
dc.subject.other	weighted capacity
dc.subject.other	uniform domain
dc.subject.other	John domain
dc.subject.other	radial limits
dc.title	Mappings of finite distortion : boundary extensions in uniform domains
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-201711294410
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.date.updated	2017-11-29T07:15:08Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	65-83
dc.relation.issn	0373-3114
dc.relation.numberinseries	1
dc.relation.volume	196
dc.type.version	acceptedVersion
dc.rights.copyright	© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.doi	10.1007/s10231-016-0563-x
dc.type.okm	A1