A proof of Carleson's 𝜀2-conjecture

Jaye, Benjamin; Tolsa, Xavier; Villa, Michele

doi:10.4007/annals.2021.194.1.2

dc.contributor.author	Jaye, Benjamin
dc.contributor.author	Tolsa, Xavier
dc.contributor.author	Villa, Michele
dc.date.accessioned	2021-09-29T09:23:05Z
dc.date.available	2021-09-29T09:23:05Z
dc.date.issued	2021
dc.identifier.citation	Jaye, B., Tolsa, X., & Villa, M. (2021). A proof of Carleson's 𝜀2-conjecture. <i>Annals of Mathematics</i>, <i>194</i>(1), 97-161. <a href="https://doi.org/10.4007/annals.2021.194.1.2" target="_blank">https://doi.org/10.4007/annals.2021.194.1.2</a>
dc.identifier.other	CONVID_99293227
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/77963
dc.description.abstract	In this paper we provide a proof of the Carleson 𝜀2-conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of a Jordan curve in terms of the finiteness of the associated Carleson 𝜀2-square function.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Mathematics Department, Princeton University
dc.relation.ispartofseries	Annals of Mathematics
dc.rights	In Copyright
dc.subject.other	rectifiability
dc.subject.other	square function
dc.subject.other	tangent
dc.subject.other	Jordan curve
dc.title	A proof of Carleson's 𝜀2-conjecture
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202109295027
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	97-161
dc.relation.issn	0003-486X
dc.relation.numberinseries	1
dc.relation.volume	194
dc.type.version	acceptedVersion
dc.rights.copyright	© 2021 Department of Mathematics, Princeton University.
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	mittateoria
dc.subject.yso	harmoninen analyysi
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
jyx.subject.uri	http://www.yso.fi/onto/yso/p28124
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.4007/annals.2021.194.1.2
jyx.fundinginformation	B. J. was partially supported by NSF through DMS-1800015 (now DMS-2103534) and the CAREER Award DMS-1847301 (now DMS-2049477). X.T. was partially supported by MTM-2016-77635-P (MICINN, Spain) and 2017-SGR-395 (AGAUR, Catalonia). M.V. was supported by The Maxwell Institute Graduate School in Analysis and its Applications, a Centre for Doctoral Training funded by the UK Engineering and Physical Sciences Research Council (grant EP/L016508/01), the Scottish Funding Council, Heriot-Watt University and the University of Edinburgh.
dc.type.okm	A1