Dans cette Note nous généralisons un théorème de Gangbo et Swiech, sur une solution au problème de Monge pour n probabilités avec la distance de Wasserstein. Dans le cadre des espaces d'Orlicz et plus généralement celui des espaces de Köthe, nous étudions ce problème pour une fonction
In this Note, we generalize Gangbo–Swiech theorem for the Monge–Kantorovich problem. We study this problem for Orlicz and Köthe spaces when the function c has the form
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Henri Heinich 1
@article{CRMATH_2002__334_9_793_0,
author = {Henri Heinich},
title = {Probl\`eme de {Monge} pour $ \mathbf{n}$ probabilit\'es},
journal = {Comptes Rendus. Math\'ematique},
pages = {793--795},
publisher = {Elsevier},
volume = {334},
number = {9},
year = {2002},
doi = {10.1016/S1631-073X(02)02341-5},
language = {fr},
}
Henri Heinich. Problème de Monge pour $ \mathbf{n}$ probabilités. Comptes Rendus. Mathématique, Volume 334 (2002) no. 9, pp. 793-795. doi : 10.1016/S1631-073X(02)02341-5. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02341-5/
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