Tree metrics and their Lipschitz-free spaces

2009/04/21 by Alexandre Godard, Godard, Alexandre · 2 citations
Mathematics · #46B04 (Primary) 05C05 #46B25 #54E35 (Secondary) #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.0904.3178

openalex publication_date 2009/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of L₁.

Cited by

• On Weak Compactness and Uniform Regularity in Lipschitz free Spaces
• Lipschitz spaces over non-porous sets

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