Abstract
The Kantorovich optimal transport problemwith a density constraint onmeasures on an infinite-dimensional space is considered. In this setting, the admissible transport plan is nonnegative and majorized by a given constraint function. The existence and the uniqueness of a solution of this problem are proved.
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Original Russian Text © A.N. Doledenok, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 1, pp. 45–55.
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Doledenok, A.N. On a Kantorovich Problem with a Density Constraint. Math Notes 104, 39–47 (2018). https://doi.org/10.1134/S0001434618070052
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DOI: https://doi.org/10.1134/S0001434618070052