On the inverse absolute continuity of quasiconformal mappings on hypersurfaces

Ntalampekos, Dimitrios; Romney, Matthew

doi:10.1353/ajm.2021.0041

dc.contributor.author	Ntalampekos, Dimitrios
dc.contributor.author	Romney, Matthew
dc.date.accessioned	2021-11-22T10:59:59Z
dc.date.available	2021-11-22T10:59:59Z
dc.date.issued	2021
dc.identifier.citation	Ntalampekos, D., & Romney, M. (2021). On the inverse absolute continuity of quasiconformal mappings on hypersurfaces. <i>American Journal of Mathematics</i>, <i>143</i>(5), 1633-1659. <a href="https://doi.org/10.1353/ajm.2021.0041" target="_blank">https://doi.org/10.1353/ajm.2021.0041</a>
dc.identifier.other	CONVID_101958606
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/78751
dc.description.abstract	We construct quasiconformal mappings f:R3→R3 for which there is a Borel set E⊂R2×{0} of positive Lebesgue 2-measure whose image f(E) has Hausdorff 2-measure zero. This gives a solution to the open problem of inverse absolute continuity of quasiconformal mappings on hypersurfaces, attributed to Gehring. By implication, our result also answers questions of V\"ais\"al\"a and Astala--Bonk--Heinonen.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Johns Hopkins University Press
dc.relation.ispartofseries	American Journal of Mathematics
dc.rights	In Copyright
dc.title	On the inverse absolute continuity of quasiconformal mappings on hypersurfaces
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202111225760
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.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	1633-1659
dc.relation.issn	0002-9327
dc.relation.numberinseries	5
dc.relation.volume	143
dc.type.version	acceptedVersion
dc.rights.copyright	© 2021 by Johns Hopkins University Press
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	713998
dc.relation.grantnumber	713998
dc.relation.grantnumber	288501
dc.relation.projectid	info:eu-repo/grantAgreement/EC/H2020/713998/EU//GeoMeG
dc.subject.yso	funktioteoria
dc.format.content	fulltext
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	10.1353/ajm.2021.0041
dc.relation.funder	European Commission	en
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Euroopan komissio	fi
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	ERC Starting Grant	en
jyx.fundingprogram	Academy Research Fellow, AoF	en
jyx.fundingprogram	ERC Starting Grant	fi
jyx.fundingprogram	Akatemiatutkija, SA	fi
jyx.fundinginformation	Research of the first author supported in part by NSF grant DMS-1506099; research of the second author supported by the Academy of Finland grant 288501 and by the ERC Starting grant 713998 GeoMeG.
dc.type.okm	A1