RT Journal Article
T1 Displacement Lipschitz Spaces and Rectifiability
A1 Fernández Tojo, Fernando Adrián
K1 Arc length
K1 Convexity
K1 Curvature
K1 Lipschitz space
K1 Rectifiability
AB 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.
PB Springer
SN 1422-6383
YR 2024
FD 2024-12-13
LK https://hdl.handle.net/10347/46478
UL https://hdl.handle.net/10347/46478
LA eng
NO Tojo, F. A. F. (2025). Displacement Lipschitz Spaces and Rectifiability. Results in Mathematics, 80(1). https://doi.org/10.1007/S00025-024-02315-Z
NO The author was partially supported by Grant PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033, Spain, and by “ERDF A way of making Europe” of the “European Union”; and by Xunta de Galicia, Spain, project (ED431C 2023/12).
DS Minerva
RD 18 may 2026