V. I. Bogachev, A. N. Kalinin, S. N. Popova, “On the equality of values in the Monge and Kantorovich problems”, Zap. Nauchn. Sem. POMI, 2017, Volume 457,Pages <nobr>53

This article is cited in 10 papers

On the equality of values in the Monge and Kantorovich problems

V. I. Bogachev^abc, A. N. Kalinin^a, S. N. Popova^a

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
^b National Research University Higher School of Economics (HSE), Moscow, Russia
^c St. Tikhon's Orthodox University, Moscow, Russia

Abstract: This paper is concerned with the study of conditions under which the Monge and Kantorovich problems with a continuous cost function on the product of two completely regular spaces and two given atomless Radon measures-projections on these spaces have equal values of the corresponding infima.

Key words and phrases: Monge problem, Kantorovich problem, Radon measure.

UDC: 519.2

Received: 31.05.2017