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.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:minerva_____::e04066c790f29b19990adabed1b77e1c |
| Acceso en línea: | https://hdl.handle.net/10347/46478 |
| Access Level: | acceso abierto |
| Palabra clave: | Arc length Convexity Curvature Lipschitz space Rectifiability |
| Sumario: | 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. |
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