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dc.contributor.authorEriksson-Bique, Sylvester
dc.contributor.authorRajala, Tapio
dc.contributor.authorSoultanis, Elefterios
dc.date.accessioned2024-05-22T05:47:18Z
dc.date.available2024-05-22T05:47:18Z
dc.date.issued2024
dc.identifier.citationEriksson-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.otherCONVID_213685906
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/95032
dc.description.abstractWe 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.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesJournal of Functional Analysis
dc.rightsCC BY 4.0
dc.subject.otherSobolev spaces
dc.subject.othersensorization
dc.subject.othermetric measure spaces
dc.subject.otherdifferentiable structures
dc.titleTensorization of p-weak differentiable structures
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202405223796
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn0022-1236
dc.relation.volume287
dc.type.versionpublishedVersion
dc.rights.copyright© 2024 The Author(s). Published by Elsevier Inc.
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber330048
dc.relation.grantnumber314789
dc.subject.ysometriset avaruudet
dc.subject.ysofunktionaalianalyysi
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p27753
jyx.subject.urihttp://www.yso.fi/onto/yso/p17780
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1016/j.jfa.2024.110497
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramPostdoctoral Researcher, AoFen
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramTutkijatohtori, SAfi
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundinginformationThe 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.okmA1


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