Spaces of Measure-Valued Mappings Connected with Disintegrations

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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Publication Details

Journal
Siberian Mathematical Journal
Published
2025-03-01
DOI
https://doi.org/10.1134/s0037446625020028
Citations
1
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
3.69
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article

Spaces of Measure-Valued Mappings Connected with Disintegrations

Mihailo Krstić, Miloš Arsenović, В. И. Богачев
1 citations
Siberian Mathematical Journal
Advanced Banach Space Theory
3.69
article

Spaces of Measure-Valued Mappings Connected with Disintegrations

Mihailo Krstić, Miloš Arsenović, В. И. Богачев
article en
1 citations

Abstract

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.

Siberian Mathematical JournalVol. 66(2)
National Research University Higher School of Economics (RU), Lomonosov Moscow State University (RU), University of Belgrade (RS)
Reduced inequalities
Openalex Percentile: Top 12%
Advanced Banach Space Theory
3.69
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