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Brief Communications

The Kantorovich Problem with a Parameter and Density Constraints

V. I. Bogachev^abcd, A. N. Doledenok^a, I. I. Malofeev<sup>bd

a</sup> Lomonosov Moscow State University
^b National Research University "Higher School of Economics", Moscow
^c Moscow Center for Fundamental and Applied Mathematics
^d St. Tikhon's Orthodox University, Moscow

Keywords: Kantorovich problem, optimal transport, measurability with respect to a parameter.

MSC: 49Q20

Received: 18.06.2021
Revised: 21.06.2021

DOI: 10.4213/mzm13187

 English version: Mathematical Notes, 2021, 110:6, 952–955

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