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Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality

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dc.contributor.authorDurand Cartagena, Estibalitz
dc.contributor.authorEriksson Bique, Sylvester
dc.contributor.authorKorte, Riikka
dc.contributor.authorShanmugalingam, Nageswari
dc.date.accessioned2024-12-02T18:12:29Z
dc.date.available2024-12-02T18:12:29Z
dc.date.issued2019-01-30
dc.descriptionThe registered version of this article, first published in Advances in Calculus of Variations, is available online at the publisher's website: De Gruyter, https://doi.org/10.1515/acv-2018-0056
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en Advances in Calculus of Variations, está disponible en línea en el sitio web del editor: De Gruyter, https://doi.org/10.1515/acv-2018-0056
dc.description.abstractWe consider two notions of functions of bounded variation in complete metric measure spaces, one due to Martio and the other due to Miranda Jr. We show that these two notions coincide if the measure is doubling and supports a 1-Poincaré inequality. In doing so, we also prove that if the measure is doubling and supports a 1-Poincaré inequality, then the metric space supports a Semmes family of curves structure.en
dc.description.versionversión final
dc.identifier.citationDurand-Cartagena, E., Eriksson-Bique, S., Korte, R. & Shanmugalingam, N. (2021). Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality. Advances in Calculus of Variations, 14(2), 231-245. https://doi.org/10.1515/acv-2018-0056
dc.identifier.doihttps://doi.org/10.1515/acv-2018-0056
dc.identifier.issn1864-8266
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24656
dc.journal.issue2
dc.journal.titleAdvances in Calculus of Variations
dc.journal.volume14
dc.language.isoen
dc.page.final245
dc.page.initial231
dc.publisherDe Gruyter
dc.relation.centerFacultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsAM-modulusen
dc.subject.keywordsbounded variationen
dc.subject.keywordsmetric measure spaceen
dc.subject.keywordssemmes pencil of curvesen
dc.titleEquivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequalityen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
person.familyNameDurand Cartagena
person.givenNameEstibalitz
person.identifier.orcid0000-0001-6469-3633
relation.isAuthorOfPublicationd59ccac2-efd7-4059-9e2b-d7fc36689f85
relation.isAuthorOfPublication.latestForDiscoveryd59ccac2-efd7-4059-9e2b-d7fc36689f85
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