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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 457, Pages 53–73 (Mi znsl6437)  
This article is cited in 12 scientific papers (total in 12 papers)

On the equality of values in the Monge and Kantorovich problems

V. I. Bogachevabc, A. N. Kalinina, S. N. Popovaa

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
Full-text PDF (241 kB) Citations (12) English version article
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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 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.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00662
Received: 31.05.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 4, Pages 377–389
DOI: https://doi.org/10.1007/s10958-019-04245-6
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. I. Bogachev, A. N. Kalinin, S. N. Popova, “On the equality of values in the Monge and Kantorovich problems”, Probability and statistics. Part 25, Zap. Nauchn. Sem. POMI, 457, POMI, St. Petersburg, 2017, 53–73; J. Math. Sci. (N. Y.), 238:4 (2019), 377–389
Citation in format AMSBIB
\Bibitem{BogKalPop17}
\by V.~I.~Bogachev, A.~N.~Kalinin, S.~N.~Popova
\paper On the equality of values in the Monge and Kantorovich problems
\inbook Probability and statistics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 457
\pages 53--73
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6437}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3723576}
\zmath{https://zbmath.org/?q=an:07084419}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 4
\pages 377--389
\crossref{https://doi.org/10.1007/s10958-019-04245-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065290282}
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  • https://www.mathnet.ru/eng/znsl/v457/p53
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:119
     
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