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On Sudakov’s type decomposition of transference plans with norm costs
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On Sudakov’s type decomposition of transference plans with norm costs
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eBook
On Sudakov’s type decomposition of transference plans with norm costs
2018
Overview
We consider the original strategy proposed by Sudakov for solving the Monge transportation problem with norm cost
In this paper we show
how these difficulties can be overcome, and that the original idea of Sudakov can be successfully implemented.
The results yield
a complete characterization of the Kantorovich optimal transportation problem, whose straightforward corollary is the solution of the
Monge problem in each set
The analysis requires
(1)
(2)
(3)
(4)
Publisher
American Mathematical Society
ISBN
1470427664, 9781470427665
