Integration of Functions with Values in Spaces of Measures
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.
Authors
- Mihailo Krstić (ORCID: https://orcid.org/0000-0003-3575-3216)
- Miloš Arsenović (ORCID: https://orcid.org/0000-0002-5450-2407)
- Vladimir Igorevich Bogachev
Institutions
- National Research University Higher School of Economics (RU)
- Lomonosov Moscow State University (RU)
- University of Belgrade (RS)
Publication Details
- Journal
- Proceedings of the Steklov Institute of Mathematics
- Published
- 2025-12-01
- DOI
- https://doi.org/10.1134/s0081543825601534
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00