Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces

DOI10.1016/j.jfa.2023.110153arXiv2209.00974OpenAlexW4386295782MaRDI QIDQ6056510

Giacomo E. Sodini, Massimo Fornasier, Giuseppe Savaré

Publication date: 2 October 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.00974

zbMATH Keywords

Dirichlet formsMoreau-Yosida regularizationoptimal transportKantorovich-Wasserstein distanceCheeger energymetric Sobolev spaces

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Dirichlet forms (31C25) Spaces of measures, convergence of measures (28A33) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

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