Displacement Lipschitz Spaces and Rectifiability

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2026-03-24T07:29:12Z
dc.date.available2026-03-24T07:29:12Z
dc.date.issued2024-12-13
dc.date.updated2025-12-04T09:50:15Z
dc.description.abstractIn this article, we introduce the notion of displacement Lipschitz spaces based on a divided difference approach. After studying rectifiability and arc length in displacement spaces, we apply Lipschitz functions to the study of convexity by measuring the allowed curvature of paths.en
dc.description.peerreviewedSI
dc.description.sponsorshipThe author was partially supported by Grant PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033, Spain, and by “ERDF A way of making Europe” of the “European Union”; and by Xunta de Galicia, Spain, project (ED431C 2023/12).
dc.identifier.citationTojo, F. A. F. (2025). Displacement Lipschitz Spaces and Rectifiability. Results in Mathematics, 80(1). https://doi.org/10.1007/S00025-024-02315-Z
dc.identifier.doi10.1007/S00025-024-02315-Z
dc.identifier.eissn1420-9012
dc.identifier.essn1420-9012
dc.identifier.issn1422-6383
dc.identifier.urihttps://hdl.handle.net/10347/46478
dc.issue.number1
dc.journal.titleResults in Mathematics
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113275GB-I00/ES/ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES Y APLICACIONES
dc.relation.publisherversionhttps://doi.org/10.1007/s00025-024-02315-z
dc.rightsCopyright: 2024 The Author(s)
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceResults in Mathematics
dc.subjectArc length
dc.subjectConvexity
dc.subjectCurvature
dc.subjectLipschitz space
dc.subjectRectifiability
dc.titleDisplacement Lipschitz Spaces and Rectifiabilityen
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number80
dspace.entity.typePublication
oaire.awardNumberED431C 2023/12
oaire.funderIdentifier10.13039/501100008530
oaire.funderNameEuropean Regional Development Fund
oaire.funderNameXunta de Galicia, Spain
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery7d79f16f-87c6-4898-b9eb-1fed52f1819a

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