KANTOROVICH DUALITY FOR GENERAL TRANSPORT COSTS AND APPLICATIONS

Journal of Functional Analysis, pp. 3327-3405, 2017.

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Abstract:

We introduce a general notion of transport cost that encompasses many costs used in the literature (including the classical one and weak transport costs introduced by Talagrand and Marton in the 90's), and prove a Kantorovich type duality theorem. As a by-product we obtain various applications in different directions: we give a short proo...More

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