Outputs (2)

Sobolev-to-Lipschitz property on $${\mathsf {QCD}}$$-spaces and applications (2021)
Journal Article
Dello Schiavo, L., & Suzuki, K. (2022). Sobolev-to-Lipschitz property on $${\mathsf {QCD}}$$-spaces and applications. Mathematische Annalen, 384, 1815-1832. https://doi.org/10.1007/s00208-021-02331-2

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 correspondi... Read More about Sobolev-to-Lipschitz property on $${\mathsf {QCD}}$$-spaces and applications.

Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces (2021)
Journal Article
Dello Schiavo, L., & Suzuki, K. (2021). Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. Journal of Functional Analysis, 281(11), Article 109234. https://doi.org/10.1016/j.jfa.2021.109234

We extensively discuss the Rademacher and Sobolev-to-Lipschitz properties for generalized intrinsic distances on strongly local Dirichlet spaces possibly without square field operator. We present many non-smooth and infinite-dimensional examples. As... Read More about Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces.