Removable sets for intrinsic metric and for holomorphic functions

Kalmykov, Sergei; Kovalev, Leonid V.; Rajala, Tapio

doi:10.1007/s11854-024-0076-2

dc.contributor.author	Kalmykov, Sergei
dc.contributor.author	Kovalev, Leonid V.
dc.contributor.author	Rajala, Tapio
dc.date.accessioned	2019-11-12T08:22:12Z
dc.date.available	2019-11-12T08:22:12Z
dc.date.issued	2019
dc.identifier.citation	Kalmykov, S., Kovalev, L. V., & Rajala, T. (2019). Removable sets for intrinsic metric and for holomorphic functions. <i>Journal d'Analyse Mathématique</i>, <i>139</i>(2), 751-772. <a href="https://doi.org/10.1007/s11854-024-0076-2" target="_blank">https://doi.org/10.1007/s11854-024-0076-2</a>
dc.identifier.other	CONVID_33507518
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/66319
dc.description.abstract	We study the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In particular, we show that every closed totally disconnected set with finite Hausdorff measure of codimension 1 is metrically removable, which answers a question raised by Hakobyan and Herron. The metrically removable sets are shown to be related to other classes of “thin” sets that appeared in the literature. They are also related to the removability problems for classes of holomorphic functions with restrictions on the derivative.	en
dc.format.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	Springer; Hebrew University Magnes Press
dc.relation.ispartofseries	Journal d'Analyse Mathématique
dc.rights	In Copyright
dc.subject.other	intrinsic metrics
dc.subject.other	holomorphic functions
dc.title	Removable sets for intrinsic metric and for holomorphic functions
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-201911124829
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	751-772
dc.relation.issn	0021-7670
dc.relation.numberinseries	2
dc.relation.volume	139
dc.type.version	acceptedVersion
dc.rights.copyright	© 2019 Springer
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	274372
dc.subject.yso	metriset avaruudet
dc.subject.yso	matematiikka
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p27753
jyx.subject.uri	http://www.yso.fi/onto/yso/p3160
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1007/s11854-024-0076-2
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Research Fellow, AoF	en
jyx.fundingprogram	Akatemiatutkija, SA	fi
jyx.fundinginformation	First author supported by NSFC grant 11650110426. Second author supported by the National Science Foundation grant DMS-1362453. Third author supported by the Academy of Finland project no. 274372.
dc.type.okm	A1