Duality for Borel measurable cost functions
نویسندگان
چکیده
منابع مشابه
Duality for Borel Measurable Cost Functions
We consider the Monge-Kantorovich transport problem in an abstract measure theoretic setting. Our main result states that duality holds if c : X × Y → [0,∞) is an arbitrary Borel measurable cost function on the product of Polish spaces X,Y . In the course of the proof we show how to relate a non-optimal transport plan to the optimal transport costs via a “subsidy” function and how to identify t...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2011-05174-3