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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Publication Details

Journal
Results in Mathematics
Published
2024-12-13
DOI
https://doi.org/10.1007/s00025-024-02315-z
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Displacement Lipschitz Spaces and Rectifiability

F. Adrián F. Tojo
Results in Mathematics
Advanced Numerical Analysis Techniques
article

Displacement Lipschitz Spaces and Rectifiability

F. Adrián F. Tojo
article en

Abstract

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.

Results in MathematicsVol. 80(1)
Universidade de Santiago de Compostela (ES)
Ministerio de Ciencia, Innovación y Universidades, European Commission, Xunta de Galicia, European Regional Development Fund, Agencia Estatal de Investigación
Climate action
Openalex Percentile: Top 75%
Advanced Numerical Analysis Techniques
DOIOpen Access PDFOpenAlex
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