Email this article On the Kantorovich problems with a parameter
- Authors: Bogachev V.I.1,2, Malofeev I.I.1,3
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Affiliations:
- Lomonosov Moscow State University
- Higher School of Economics
- St. Tikhons Orthodox University
- Issue: Vol 487, No 4 (2019)
- Pages: 355-360
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/15817
- DOI: https://doi.org/10.31857/S0869-56524874355-360
- ID: 15817
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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
Lomonosov Moscow State University; Higher School of Economics
Author for correspondence.
Email: vibogach@mail.ru
Russian Federation, 1, Leninskie gory, Moscow, 119991; 20, Myasnitskaya str., Moscow, 101000
I. I. Malofeev
Lomonosov Moscow State University; St. Tikhons Orthodox University
Email: vibogach@mail.ru
Russian Federation, 1, Leninskie gory, Moscow, 119991; 23/5a, Novokuznetskaya street, Moscow, 115184
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