Email this article On the Equality of Values in the Monge and Kantorovich Problems
- Authors: Bogachev V.I.1,2,3, Kalinin A.N.1, Popova S.N.1
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Affiliations:
- Lomonosov Moscow State University
- National Research University Higher School of Economics
- Orthodox St.Tikhon Humanitarian University
- Issue: Vol 238, No 4 (2019)
- Pages: 377-389
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242536
- DOI: https://doi.org/10.1007/s10958-019-04245-6
- ID: 242536
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Abstract
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.
About the authors
V. I. Bogachev
Lomonosov Moscow State University; National Research University Higher School of Economics; Orthodox St.Tikhon Humanitarian University
Author for correspondence.
Email: vibogach@mail.ru
Russian Federation, Moscow
A. N. Kalinin
Lomonosov Moscow State University
Email: vibogach@mail.ru
Russian Federation, Moscow
S. N. Popova
Lomonosov Moscow State University
Email: vibogach@mail.ru
Russian Federation, Moscow
