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math.FA2025
Energy Bounds for Kantorovich Transport Distances with Convex Cost Functions
Sergey Bobkov, Friedrich Götze
Energy bounds for Kantorovich transport distances are developed for convex cost functions. The main results extend estimates due to M. Ledoux for the Kantorovich distances .
math.FA2025
On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions
Sergey G. Bobkov, Friedrich Götze
We discuss variants of construction of measurable subgradients for multivariate convex functions and the problem of characterization of the -condition in terms of their direct…