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.
| Autor: | |
|---|---|
| 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 |
| Resumo: | 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. |
|---|