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Sobolev-to-Lipschitz property on [Formula: see text] -spaces and applications

We prove the Sobolev-to-Lipschitz property for metric measure spaces satisfying the quasi curvature-dimension condition recently introduced in Milman (Commun Pure Appl Math, to appear). We provide several applications to properties of the corresponding heat semigroup. In particular, under the additi...

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Detalles Bibliográficos
Autores principales: Dello Schiavo, Lorenzo, Suzuki, Kohei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9579119/
https://www.ncbi.nlm.nih.gov/pubmed/36275450
http://dx.doi.org/10.1007/s00208-021-02331-2