Matrix Hölder's inequality and divergence formulation of optimal transport of vector measures

We characterise equality cases in matrix H¨older’s inequality and develop a divergence formulation of optimal transport of vector measures. As an application, we reprove the representation formula for measures in the polar cone to monotone maps. We generalise the last result to a wide class of polar...

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Bibliographic Details
Main Author: Ciosmak, KJ
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2021