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The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson’s inequalities
We show that the algebra of cylinder functions in the Wasserstein Sobolev space [Formula: see text] generated by a finite and positive Borel measure [Formula: see text] on the [Formula: see text] -Wasserstein space [Formula: see text] on a complete and separable metric space [Formula: see text] is d...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Springer Berlin Heidelberg
2023
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10423185/ https://www.ncbi.nlm.nih.gov/pubmed/37581195 http://dx.doi.org/10.1007/s00526-023-02543-1 |