Global Lipschitz extension preserving local constants

DOI10.4171/RLM/913zbMath1469.30123arXiv2007.10011OpenAlexW3132542349MaRDI QIDQ2039120

Aldo Pratelli, Simone Di Marino, Nicola Gigli

Publication date: 2 July 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.10011

zbMATH Keywords

local Lipschitz constantsLipschitz functionsMcShane extension

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Analysis on metric spaces (30L99)

Related Items (1)

Gamma-convergence of Cheeger energies with respect to increasing distances

Cites Work

• Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
• Nonlinear potential theory on metric spaces
• Differentiability of Lipschitz functions on metric measure spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
• Extension of range of functions
• Sobolev Spaces on Metric Measure Spaces

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