On the Equality of Values in the Monge and Kantorovich Problems

Journal Article · Sun Apr 28 00:00:00 EDT 2019 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-019-04245-6· OSTI ID:22921364

Bogachev, V. I., E-mail: [e-mail] ^[1]; Kalinin, A. N., E-mail: [e-mail]; Popova, S. N., E-mail: [e-mail] ^[2]

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1. Lomonosov Moscow State University, National Research University Higher School of Economics, Orthodox St.Tikhon Humanitarian University (Russian Federation)
2. Lomonosov Moscow State University (Russian Federation)

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

• OSTI ID: 22921364
• Journal Information: Journal of Mathematical Sciences, Vol. 238, Issue 4; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
FUNCTIONS
RADON
SPACE