Tensorization of p-weak differentiable structures

Eriksson-Bique, Sylvester; Rajala, Tapio; Soultanis, Elefterios

doi:10.1016/j.jfa.2024.110497

dc.contributor.author	Eriksson-Bique, Sylvester
dc.contributor.author	Rajala, Tapio
dc.contributor.author	Soultanis, Elefterios
dc.date.accessioned	2024-05-22T05:47:18Z
dc.date.available	2024-05-22T05:47:18Z
dc.date.issued	2024
dc.identifier.citation	Eriksson-Bique, S., Rajala, T., & Soultanis, E. (2024). Tensorization of p-weak differentiable structures. <i>Journal of Functional Analysis</i>, <i>287</i>, Article 110497. <a href="https://doi.org/10.1016/j.jfa.2024.110497" target="_blank">https://doi.org/10.1016/j.jfa.2024.110497</a>
dc.identifier.other	CONVID_213685906
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/95032
dc.description.abstract	We consider p-weak differentiable structures that were recently introduced in [9], and prove that the product of p-weak charts is a p-weak chart. This implies that the product of two spaces with a p-weak differentiable structure also admits a p-weak differentiable structure. We make partial progress on the tensorization problem of Sobolev spaces by showing an isometric embedding result. Further, we establish tensorization when one of the factors is PI.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Elsevier
dc.relation.ispartofseries	Journal of Functional Analysis
dc.rights	CC BY 4.0
dc.subject.other	Sobolev spaces
dc.subject.other	sensorization
dc.subject.other	metric measure spaces
dc.subject.other	differentiable structures
dc.title	Tensorization of p-weak differentiable structures
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202405223796
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	0022-1236
dc.relation.volume	287
dc.type.version	publishedVersion
dc.rights.copyright	© 2024 The Author(s). Published by Elsevier Inc.
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	330048
dc.relation.grantnumber	314789
dc.subject.yso	metriset avaruudet
dc.subject.yso	funktionaalianalyysi
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p27753
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1016/j.jfa.2024.110497
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Postdoctoral Researcher, AoF	en
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Tutkijatohtori, SA	fi
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	The first author was partially supported by the Finnish Academy under Research postdoctoral Grant No. 330048. The second author was partially supported by the Finnish Academy, Grant No. 314789. The third author was supported by the Swiss National Science Foundation Grant 182423.
dc.type.okm	A1