Displacement Lipschitz Spaces and Rectifiability

In 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.

Detalhes bibliográficos
Autor: Fernández Tojo, Fernando Adrián
Tipo de documento: artigo
Data de publicação:2024
País:España
Recursos:Universidad de Santiago de Compostela (USC)
Repositório:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglês
OAI Identifier:oai:dnet:minerva_____::e04066c790f29b19990adabed1b77e1c
Acesso em linha:https://hdl.handle.net/10347/46478
Access Level:Acceso aberto
Palavra-chave:Arc length
Convexity
Curvature
Lipschitz space
Rectifiability
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spelling Displacement Lipschitz Spaces and RectifiabilityFernández Tojo, Fernando AdriánArc lengthConvexityCurvatureLipschitz spaceRectifiabilityIn 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.SpringerUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización20242024-12-1320242024-12-13journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/46478reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113275GB-I00 ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES Y APLICACIONESopen accesshttp://purl.org/coar/access_right/c_abf2Copyright: 2024 The Author(s)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:dnet:minerva_____::e04066c790f29b19990adabed1b77e1c2026-06-15T12:47:27Z
dc.title.none.fl_str_mv Displacement Lipschitz Spaces and Rectifiability
title Displacement Lipschitz Spaces and Rectifiability
spellingShingle Displacement Lipschitz Spaces and Rectifiability
Fernández Tojo, Fernando Adrián
Arc length
Convexity
Curvature
Lipschitz space
Rectifiability
title_short Displacement Lipschitz Spaces and Rectifiability
title_full Displacement Lipschitz Spaces and Rectifiability
title_fullStr Displacement Lipschitz Spaces and Rectifiability
title_full_unstemmed Displacement Lipschitz Spaces and Rectifiability
title_sort Displacement Lipschitz Spaces and Rectifiability
dc.creator.none.fl_str_mv Fernández Tojo, Fernando Adrián
author Fernández Tojo, Fernando Adrián
author_facet Fernández Tojo, Fernando Adrián
author_role author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.subject.none.fl_str_mv Arc length
Convexity
Curvature
Lipschitz space
Rectifiability
topic Arc length
Convexity
Curvature
Lipschitz space
Rectifiability
description In 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.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-12-13
2024
2024-12-13
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/46478
url https://hdl.handle.net/10347/46478
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113275GB-I00 ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES Y APLICACIONES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Copyright: 2024 The Author(s)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Copyright: 2024 The Author(s)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
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