Extending Lipschitz and Hölder maps between metric spaces

DOI10.1007/s11117-008-2202-2zbMath1198.54048OpenAlexW2035173282WikidataQ125838938 ScholiaQ125838938MaRDI QIDQ1029221

Shin-Ichi Ohta

Publication date: 10 July 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2202-2

zbMATH Keywords

barycenterLipschitz mapHölder mapLipschitz retractlarge-scale Lipschitz map

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Extension of maps (54C20)

Related Items (11)

Ergodic theorem in CAT(0) spaces in terms of inductive means ⋮ Contractive barycentric maps and \(L^{1}\) ergodic theorems on the cone of positive definite matrices ⋮ Harmonic mappings valued in the Wasserstein space ⋮ Jensen's inequality on convex spaces ⋮ Linear Lipschitz and \(C^1\) extension operators through random projection ⋮ Spectral calculus and Lipschitz extension for barycentric metric spaces ⋮ Impossibility of almost extension ⋮ Comparison of Metric Spectral Gaps ⋮ Uniform convexity and smoothness, and their applications in Finsler geometry ⋮ Majorization by hemispheres and quadratic isoperimetric constants ⋮ Linear extension operators between spaces of Lipschitz maps and optimal transport

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Markov chains, Riesz transforms and Lipschitz maps
• Sharp uniform convexity and smoothness inequalities for trace norms
• Kirszbraun's theorem and metric spaces of bounded curvature
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Extending Lipschitz functions via random metric partitions
• Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
• Six theorems about injective metric spaces
• Convexities of metric spaces
• Extendability of Large-Scale Lipschitz Maps
• A phase transition phenomenon between the isometric and isomorphic extension problems for Hölder functions betweenL_pspaces
• Extensions of Lipschitz maps into Hadamard spaces

This page was built for publication: Extending Lipschitz and Hölder maps between metric spaces