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Pré-Publication, Document De Travail Année : 2019

OPTIMAL TRANSPORTATION OF VECTOR-VALUED MEASURES

Résumé

Given two n-dimensional measures µ and ν on Polish spaces, we propose an optimal transportation's formulation, inspired by classical Kan-torovitch's formulation in the scalar case. In particular, we established a strong duality result and as a consequence, optimality conditions are investigated. Wasserstein's metrics induced by our formulation are also investigated.
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Dates et versions

hal-01971670 , version 1 (11-01-2019)

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Xavier Bacon. OPTIMAL TRANSPORTATION OF VECTOR-VALUED MEASURES. 2019. ⟨hal-01971670⟩
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