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The Monge-Kantorovich tangent bundle to a measure

Arroyo-Rabasa, Adolfo et al.
arXiv (All) · Papers
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28a7549q22analysis-of-pdes
We study the tangent bundle $T_μ$ to a Radon measure $μ$ in Euclidean space, introduced by Bouchitté, Champion and Jimenez (2005). Its construction, inspired by Monge-Kantorovich optimal transport theory, involves the duality between Lipschitz functions and the so-called Arens-Eells space, a Banach
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