Traces of weighted function spaces : Dyadic norms and Whitney extensions

Koskela, Pekka; Soto, Tomás; Wang, Zhuang

doi:10.1007/s11425-017-9148-6

dc.contributor.author	Koskela, Pekka
dc.contributor.author	Soto, Tomás
dc.contributor.author	Wang, Zhuang
dc.date.accessioned	2019-02-27T12:54:40Z
dc.date.available	2019-02-27T12:54:40Z
dc.date.issued	2017
dc.identifier.citation	Koskela, P., Soto, T., & Wang, Z. (2017). Traces of weighted function spaces : Dyadic norms and Whitney extensions. <i>Science China Mathematics</i>, <i>60</i>(11), 1981-2010. <a href="https://doi.org/10.1007/s11425-017-9148-6" target="_blank">https://doi.org/10.1007/s11425-017-9148-6</a>
dc.identifier.other	CONVID_27251319
dc.identifier.other	TUTKAID_75155
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/62972
dc.description.abstract	The trace spaces of Sobolev spaces and related fractional smoothness spaces have been an active area of research since the work of Nikolskii, Aronszajn, Slobodetskii, Babich and Gagliardo among others in the 1950’s. In this paper, we review the literature concerning such results for a variety of weighted smoothness spaces. For this purpose, we present a characterization of the trace spaces (of fractional order of smoothness), based on integral averages on dyadic cubes, which is well-adapted to extending functions using the Whitney extension operator.	en
dc.format.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	Springer
dc.relation.ispartofseries	Science China Mathematics
dc.rights	In Copyright
dc.subject.other	trace theorems
dc.subject.other	weighted Sobolev spaces
dc.subject.other	Besov spaces
dc.subject.other	Triebel-Lizorkin spaces
dc.title	Traces of weighted function spaces : Dyadic norms and Whitney extensions
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201902181535
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.date.updated	2019-02-18T10:15:19Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	1981-2010
dc.relation.issn	1674-7283
dc.relation.numberinseries	11
dc.relation.volume	60
dc.type.version	acceptedVersion
dc.rights.copyright	© Science China Press and Springer-Verlag Berlin Heidelberg 2017.
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	307333 HY
dc.subject.yso	funktioanalyysi
dc.subject.yso	funktioavaruudet
dc.subject.yso	sovellettu matematiikka
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p6850
jyx.subject.uri	http://www.yso.fi/onto/yso/p38890
jyx.subject.uri	http://www.yso.fi/onto/yso/p38113
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1007/s11425-017-9148-6
dc.relation.funder	Suomen Akatemia	fi
dc.relation.funder	Academy of Finland	en
jyx.fundingprogram	Huippuyksikkörahoitus, SA	fi
jyx.fundingprogram	Centre of Excellence, AoF	en
jyx.fundinginformation	This work was supported by the Academy of Finland via the Centre of Excellence in Analysis and Dynamics Research (Grant No. 307333).
dc.type.okm	A1