On the Kantorovich Problem with a Parameter
- Autores: Bogachev V.1,2,3, Malofeev I.1
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Afiliações:
- Faculty of Mechanics and Mathematics, Moscow State University
- National Research University Higher School of Economics
- St.-Tikhon’s Orthodox University
- Edição: Volume 100, Nº 1 (2019)
- Páginas: 349-353
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225693
- DOI: https://doi.org/10.1134/S1064562419040100
- ID: 225693
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Resumo
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.
Sobre autores
V. 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
Rússia, Moscow, 119991; Moscow, 101000; Moscow, 115184
I. Malofeev
Faculty of Mechanics and Mathematics,Moscow State University
Autor responsável pela correspondência
Email: vibogach@mail.ru
Rússia, Moscow, 119991