Quasispheres and metric doubling measures

Lohvansuu, Atte; Rajala, Kai; Rasimus, Martti

doi:10.1090/proc/13971

dc.contributor.author	Lohvansuu, Atte
dc.contributor.author	Rajala, Kai
dc.contributor.author	Rasimus, Martti
dc.date.accessioned	2018-10-16T09:59:14Z
dc.date.available	2018-10-16T09:59:14Z
dc.date.issued	2018
dc.identifier.citation	Lohvansuu, A., Rajala, K., & Rasimus, M. (2018). Quasispheres and metric doubling measures. <i>Proceedings of the American Mathematical Society</i>, <i>146</i>(7), 2973-2984. <a href="https://doi.org/10.1090/proc/13971" target="_blank">https://doi.org/10.1090/proc/13971</a>
dc.identifier.other	CONVID_28037123
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/59831
dc.description.abstract	Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric two-sphere X is a quasisphere if and only if X is linearly locally connected and carries a weak metric doubling measure, i.e., a measure that deforms the metric on X without much shrinking.	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society
dc.relation.ispartofseries	Proceedings of the American Mathematical Society
dc.rights	In Copyright
dc.subject.other	funktioteoria	fi
dc.subject.other	metriset avaruudet	fi
dc.subject.other	mittateoria	fi
dc.subject.other	complex analysis	fi
dc.subject.other	metric spaces	fi
dc.subject.other	measure theory	fi
dc.title	Quasispheres and metric doubling measures
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-201810034315
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	2018-10-03T09:15:09Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	2973-2984
dc.relation.issn	0002-9939
dc.relation.numberinseries	7
dc.relation.volume	146
dc.type.version	acceptedVersion
dc.rights.copyright	© 2018 American Mathematical Society
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	308659
dc.subject.yso	metriset avaruudet
dc.subject.yso	mittateoria
dc.subject.yso	funktioteoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p27753
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
jyx.subject.uri	http://www.yso.fi/onto/yso/p18494
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1090/proc/13971
dc.relation.funder	Suomen Akatemia	fi
dc.relation.funder	Academy of Finland	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundinginformation	This research was supported by the Academy of Finland, project number 308659.
dc.type.okm	A1