Spaces of Measure-Valued Mappings Connected with Disintegrations

被引：0
|
作者：
M. Arsenović [1 ]
V. I. Bogachev [2 ]
M. Krstić [3 ]
机构：
[1] University of Belgrade,Faculty of Mathematics
[2] Lomonosov Moscow State University,undefined
[3] National Research University Higher School of Economics,undefined
来源：
Siberian Mathematical Journal | 2025年 / 66卷 / 2期
关键词：
space of measures; measurable mapping; disintegration; 517.3;
D O I：
10.1134/S0037446625020028
中图分类号：
学科分类号：
摘要：
We study several normed spaces of measurable mappings with values in spaces of bounded measures. Such spaces of mappings arise naturally in connection with disintegrations of measures and are larger than the classical space of Bochner integrable mappings. They are defined by means of setwise integrability or by means of Kantorovich–Rubinshtein-type norms.
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页码：248 / 261
页数：13
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