A short proof of the infinitesimal hilbertianity of the weighted Euclidean space

DOI10.5802/crmath.88zbMath1466.46025arXiv2005.02924OpenAlexW3099301274WikidataQ109747345 ScholiaQ109747345MaRDI QIDQ2213061

Simone Di Marino, Danka Lučić, Enrico Pasqualetto

Publication date: 27 November 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02924

zbMATH Keywords

Alberti-Marchese decomposability bundleinfinitesimal hilbertianitySobolev spaces with arbitrary Radon measure

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Continuity and differentiation questions (26B05)

Related Items (5)

A differential perspective on gradient flows on \(\mathbf{\mathsf{CAT}} (\kappa)\)-spaces and applications ⋮ Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces ⋮ Universal infinitesimal Hilbertianity of sub-Riemannian manifolds ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ Characterisation of upper gradients on the weighted Euclidean space and applications

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