Vector calculus on weighted reflexive Banach spaces

Pasqualetto, Enrico; Rajala, Tapio

doi:10.1007/s00209-024-03605-6

dc.contributor.author	Pasqualetto, Enrico
dc.contributor.author	Rajala, Tapio
dc.date.accessioned	2024-10-17T09:27:33Z
dc.date.available	2024-10-17T09:27:33Z
dc.date.issued	2024
dc.identifier.citation	Pasqualetto, E., & Rajala, T. (2024). Vector calculus on weighted reflexive Banach spaces. <i>Mathematische Zeitschrift</i>, <i>308</i>, Article 48. <a href="https://doi.org/10.1007/s00209-024-03605-6" target="_blank">https://doi.org/10.1007/s00209-024-03605-6</a>
dc.identifier.other	CONVID_243540533
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/97501
dc.description.abstract	We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces and to the related tangent bundles.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer Nature
dc.relation.ispartofseries	Mathematische Zeitschrift
dc.rights	CC BY 4.0
dc.subject.other	Sobolev space
dc.subject.other	weighted Banach space
dc.subject.other	tangent bundle
dc.subject.other	test plan
dc.title	Vector calculus on weighted reflexive Banach spaces
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202410176364
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	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.relation.issn	0025-5874
dc.relation.volume	308
dc.type.version	publishedVersion
dc.rights.copyright	© The Author(s) 2024
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.subject.yso	algebrallinen topologia
dc.subject.yso	metriset avaruudet
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p27954
jyx.subject.uri	http://www.yso.fi/onto/yso/p27753
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s00209-024-03605-6
jyx.fundinginformation	The first named author has been supported by the MIUR-PRIN 202244A7YL project “Gradient Flows and Non-Smooth Geometric Structures with Applications to Optimization and Machine Learning”. Open Access funding provided by University of Jyväskylä (JYU).
dc.type.okm	A1