Trace Operators on Regular Trees

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

doi:10.1515/agms-2020-0117

dc.contributor.author	Koskela, Pekka
dc.contributor.author	Nguyen, Khanh Ngoc
dc.contributor.author	Wang, Zhuang
dc.date.accessioned	2021-01-25T13:43:33Z
dc.date.available	2021-01-25T13:43:33Z
dc.date.issued	2021
dc.identifier.citation	Koskela, P., Nguyen, K. N., & Wang, Z. (2021). Trace Operators on Regular Trees. <i>Analysis and Geometry in Metric Spaces</i>, <i>8</i>(1), 396-409. <a href="https://doi.org/10.1515/agms-2020-0117" target="_blank">https://doi.org/10.1515/agms-2020-0117</a>
dc.identifier.other	CONVID_47835910
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/73786
dc.description.abstract	We consider different notions of boundary traces for functions in Sobolev spaces defined on regular trees and show that the almost everywhere existence of these traces is independent of the chosen definition of a trace.	en
dc.format.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	De Gruyter
dc.relation.ispartofseries	Analysis and Geometry in Metric Spaces
dc.rights	CC BY 4.0
dc.subject.other	Newtonian space
dc.subject.other	regular tree
dc.subject.other	trace operator
dc.title	Trace Operators on Regular Trees
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202101251248
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	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Mathematics	en
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	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	396-409
dc.relation.issn	2299-3274
dc.relation.numberinseries	1
dc.relation.volume	8
dc.type.version	publishedVersion
dc.rights.copyright	© 2020 the Authors
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	funktionaalianalyysi
dc.subject.yso	potentiaaliteoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
jyx.subject.uri	http://www.yso.fi/onto/yso/p18911
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1515/agms-2020-0117
dc.type.okm	A1