Monge problem for \(n\) probabilities
type: Item
instance of: scholarly article
title: Monge problem for \(n\) probabilities
zbMATH Open document ID: 0996.60025
DOI: 10.1016/S1631-073X(02)02341-5
author: Henri Heinich
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2002-10-31T00:00:00Z
review text: The author extends a result of \textit{W. Gangbo} and \textit{A. Świȩch} [Commun. Pure Appl. Math. 51, No. 1, 23-45 (1998; Zbl 0889.49030)] on the existence of optimal Monge functions for coupling functions \(c(x)= (\sum x_i)^2\) to the case where \(c(x)\) is of the form \(h(\sum x_i)\), \(h\) convex, \(h(0)= 0\), and furthermore, to the more general case of Köthe spaces. The method of proof is similar to a related proof of the Gangbo-Świȩch result by the reviewer and \textit{Uckelmann} (2002).
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 1754803
zbMATH Keywords: Monge problem
zbMATH Keywords: optimal couplings
zbMATH Keywords: Köthe spaces
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1754803