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dc.contributor.authorTakanen, Jyrki
dc.date.accessioned2024-02-29T08:30:08Z
dc.date.available2024-02-29T08:30:08Z
dc.date.issued2023
dc.identifier.citationTakanen, J. (2023). Dimension estimate for the two-sided points of planar Sobolev extension domains. <i>Proceedings of the American Mathematical Society</i>, <i>151</i>(9), 3779-3792. <a href="https://doi.org/10.1090/proc/16362" target="_blank">https://doi.org/10.1090/proc/16362</a>
dc.identifier.otherCONVID_184117644
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/93759
dc.description.abstractIn this paper we give an estimate for the Hausdorff dimension of the set of two-sided points of the boundary of bounded simply connected Sobolev W1,p-extension domain for 1 < p < 2. Sharpness of the estimate is shown by examples. We also prove the equivalence of different definitions of two-sided points.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.ispartofseriesProceedings of the American Mathematical Society
dc.rightsCC BY-NC 4.0
dc.titleDimension estimate for the two-sided points of planar Sobolev extension domains
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202402292231
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange3779-3792
dc.relation.issn0002-9939
dc.relation.numberinseries9
dc.relation.volume151
dc.type.versionacceptedVersion
dc.rights.copyright© 2023 American Mathematical Society
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber314789
dc.subject.ysomittateoria
dc.subject.ysofunktionaalianalyysi
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p13386
jyx.subject.urihttp://www.yso.fi/onto/yso/p17780
dc.rights.urlhttps://creativecommons.org/licenses/by-nc/4.0/
dc.relation.doi10.1090/proc/16362
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundinginformationThe author was supported by the Academy of Finland, grant no. 314789.
dc.type.okmA1


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