Trace and Density Results on Regular Trees

Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang

doi:10.1007/s11118-021-09907-2

dc.contributor.author	Koskela, Pekka
dc.contributor.author	Nguyen, Khanh Ngoc
dc.contributor.author	Wang, Zhuang
dc.date.accessioned	2021-03-12T05:34:21Z
dc.date.available	2021-03-12T05:34:21Z
dc.date.issued	2022
dc.identifier.citation	Koskela, P., Nguyen, K. N., & Wang, Z. (2022). Trace and Density Results on Regular Trees. <i>Potential Analysis</i>, <i>57</i>(1), 101-128. <a href="https://doi.org/10.1007/s11118-021-09907-2" target="_blank">https://doi.org/10.1007/s11118-021-09907-2</a>
dc.identifier.other	CONVID_51870421
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/74606
dc.description.abstract	The boundary of a regular tree can be viewed as a Cantor-type set. We equip our tree with a weighted distance and a weighted measure via the Euclidean arc-length and consider the associated first-order Sobolev spaces. We give characterizations for the existence of traces and for the density of compactly supported functions.	en
dc.format.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	Springer
dc.relation.ispartofseries	Potential Analysis
dc.rights	CC BY 4.0
dc.subject.other	regular tree
dc.subject.other	boundary trace
dc.subject.other	Newtonian space
dc.subject.other	density
dc.title	Trace and Density Results on Regular Trees
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202103121950
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	en
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	101-128
dc.relation.issn	0926-2601
dc.relation.numberinseries	1
dc.relation.volume	57
dc.type.version	publishedVersion
dc.rights.copyright	© The Author(s) 2021
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	funktionaalianalyysi
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s11118-021-09907-2
jyx.fundinginformation	Open access funding provided by University of Jyväskylä (JYU).
dc.type.okm	A1