The Monge problem in Banach spaces

DOI10.1007/s10959-006-0017-2zbMath1120.49041OpenAlexW1981847004MaRDI QIDQ867073

Henri Heinich

Publication date: 14 February 2007

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-006-0017-2

zbMATH Keywords

Orlicz spaceKöthe spaceMonge-Kantorovich transportation problemMonge problemoptimal couplingcost and profit functions

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Variational problems in a geometric measure-theoretic setting (49Q20) Probability theory on linear topological spaces (60B11)

Related Items (1)

Towards a simultaneous Skorohod theorem

Cites Work

• On the \(n\)-coupling problem
• Meilleures approximations et médianes conditionnelles
• A characterization for the solution of the Monge--Kantorovich mass transference problem
• Notes on the Wasserstein metric in Hilbert spaces
• On a generalization of cyclic monotonicity and distances among random vectors
• The geometry of optimal transportation
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• On \(c\)-optimal random variables
• Applications de dualité dans les espaces de Köthe
• An Extension of Skorohod's Almost Sure Representation Theorem
• Optimal maps for the multidimensional Monge-Kantorovich problem
• Mass transport problem and derivation
• Caractérisation d'une solution optimale au problème de Monge-Kantorovitch
• Optimal solutions of multivariate coupling problems
• Distances of Probability Measures and Random Variables
• State Constraints in Convex Control Problems of Bolza
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