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 | |