The Monge problem in Banach spaces
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Publication:867073
DOI10.1007/s10959-006-0017-2zbMath1120.49041OpenAlexW1981847004MaRDI QIDQ867073
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
Orlicz spaceKöthe spaceMonge-Kantorovich transportation problemMonge problemoptimal couplingcost and profit functions
Probability measures on topological spaces (60B05) Variational problems in a geometric measure-theoretic setting (49Q20) Probability theory on linear topological spaces (60B11)
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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
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- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
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- On \(c\)-optimal random variables
- Applications de dualité dans les espaces de Köthe
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- 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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