Email this article On the Kantorovich Problem with a Parameter
- Authors: Bogachev V.I.1,2,3, Malofeev I.I.1
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Affiliations:
- Faculty of Mechanics and Mathematics, Moscow State University
- National Research University Higher School of Economics
- St.-Tikhon’s Orthodox University
- Issue: Vol 100, No 1 (2019)
- Pages: 349-353
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225693
- DOI: https://doi.org/10.1134/S1064562419040100
- ID: 225693
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Abstract
We study measurable dependence of measures on a parameter in the Kantorovich optimal transportation problem with a parameter. Broad sufficient conditions are obtained for the existence of proper conditional measures measurably depending on a parameter in the case of parametric families of measures and mappings.
About the authors
V. I. Bogachev
Faculty of Mechanics and Mathematics,Moscow State University; National Research University Higher School of Economics; St.-Tikhon’s Orthodox University
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; Moscow, 101000; Moscow, 115184
I. I. Malofeev
Faculty of Mechanics and Mathematics,Moscow State University
Author for correspondence.
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991
