On the Kantorovich Problem with a Parameter


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详细

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.

作者简介

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
俄罗斯联邦, Moscow, 119991; Moscow, 101000; Moscow, 115184

I. Malofeev

Faculty of Mechanics and Mathematics,
Moscow State University

编辑信件的主要联系方式.
Email: vibogach@mail.ru
俄罗斯联邦, Moscow, 119991


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