Pointwise inequalities for Sobolev functions on generalized cuspidal domains

Zhu, Zheng

doi:10.54330/afm.117881

dc.contributor.author	Zhu, Zheng
dc.date.accessioned	2022-08-19T09:09:52Z
dc.date.available	2022-08-19T09:09:52Z
dc.date.issued	2022
dc.identifier.citation	Zhu, Z. (2022). Pointwise inequalities for Sobolev functions on generalized cuspidal domains. <i>Annales Fennici mathematici</i>, <i>47</i>(2), 747-757. <a href="https://doi.org/10.54330/afm.117881" target="_blank">https://doi.org/10.54330/afm.117881</a>
dc.identifier.other	CONVID_150879396
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/82719
dc.description.abstract	Olkoon Ω⊂Rn−1 rajoitettu tähtimäinen alue ja Ωψ ulkoneva kärkialue, jonka kanta-alue on Ω. Arvoilla 1< p≤ ∞ osoitamme, että W1,p(Ωψ) = M1,p(Ωψ) jos ja vain jos W1,p(Ω) = M1,p(Ω).	fi
dc.description.abstract	Let Ω⊂Rn−1 be a bounded star-shaped domain and Ωψ be an outward cuspidal domain with base domain Ω. We prove that for 1< p≤ ∞, W1,p(Ωψ) = M1,p(Ωψ) if and only if W1,p(Ω) = M1,p(Ω).	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Finnish Mathematical Society
dc.relation.ispartofseries	Annales Fennici mathematici
dc.rights	CC BY-NC 4.0
dc.subject.other	Sobolev functions
dc.subject.other	cuspidal domains
dc.subject.other	pointwise inequality
dc.title	Pointwise inequalities for Sobolev functions on generalized cuspidal domains
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202208194258
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	747-757
dc.relation.issn	2737-0690
dc.relation.numberinseries	2
dc.relation.volume	47
dc.type.version	publishedVersion
dc.rights.copyright	© 2022 Annales Fennici Mathematici
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	323960
dc.subject.yso	epäyhtälöt
dc.subject.yso	funktionaalianalyysi
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p15720
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
dc.rights.url	https://creativecommons.org/licenses/by-nc/4.0/
dc.relation.doi	10.54330/afm.117881
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	The author has been supported by the Academy of Finland via Centre of Excellence in Analysisand Dynamics Research (Project #323960).
dc.type.okm	A1