The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities

DOI10.1007/s00526-023-02543-1zbMath1530.46035arXiv2212.10955OpenAlexW4385783542MaRDI QIDQ6170376

Giacomo E. Sodini

Publication date: 16 August 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.10955

zbMATH Keywords

cylinder functionsWasserstein Sobolev spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Duality and reflexivity in normed linear and Banach spaces (46B10) Optimal transportation (49Q22) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items

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

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