On the dimension of Kakeya sets in the first Heisenberg group

Liu, Jiayin

doi:10.1090/proc/15914

dc.contributor.author	Liu, Jiayin
dc.date.accessioned	2023-02-02T05:51:45Z
dc.date.available	2023-02-02T05:51:45Z
dc.date.issued	2022
dc.identifier.citation	Liu, J. (2022). On the dimension of Kakeya sets in the first Heisenberg group. <i>Proceedings of the American Mathematical Society</i>, <i>150</i>(8), 3445-3455. <a href="https://doi.org/10.1090/proc/15914" target="_blank">https://doi.org/10.1090/proc/15914</a>
dc.identifier.other	CONVID_150914954
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/85280
dc.description.abstract	We define Kakeya sets in the Heisenberg group and show that the Heisenberg Hausdorff dimension of Kakeya sets in the first Heisenberg group is at least 3. This lower bound is sharp since, under our definition, the {xoy}-plane is a Kakeya set with Heisenberg Hausdorff dimension 3.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society (AMS)
dc.relation.ispartofseries	Proceedings of the American Mathematical Society
dc.rights	In Copyright
dc.title	On the dimension of Kakeya sets in the first Heisenberg group
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202302021563
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	3445-3455
dc.relation.issn	0002-9939
dc.relation.numberinseries	8
dc.relation.volume	150
dc.type.version	acceptedVersion
dc.rights.copyright	© 2022 American Mathematical Society
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	fraktaalit
dc.subject.yso	mittateoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p6341
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1090/proc/15914
dc.type.okm	A1