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math.FA2021
Matrix Hölder's inequality and divergence formulation of optimal transport of vector measures
Krzysztof J. Ciosmak
We characterise equality cases in matrix Hölder's inequality and develop a divergence formulation of optimal transport of vector measures. As an application, we reprove the represe…
math.FA2021
Optimal transport of vector measures
Krzysztof J. Ciosmak
We develop and study a theory of optimal transport for vector measures. We resolve in the negative a conjecture of Klartag, that given a vector measure on Euclidean space with tota…