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https://research.matf.bg.ac.rs/handle/123456789/3148| Title: | Integration of Measurre Valued Mappings | Authors: | Arsenović, Miloš Bogachev, Vladimir Krstić, Mihailo |
Affiliations: | Mathematical Analysis Real and Functional Analysis |
Keywords: | weak integrals;signed measures;Kantorovich-Rubinstein norm | Issue Date: | 2025 | Rank: | M64 | Publisher: | Beograd : Matematički fakultet | Related Publication(s): | XV Smpozijum "Matematika i primene" : Knjiga apstrakata | Conference: | Simpozijum "Matematika i primene" (15 ; 2026 ; Beograd) | Abstract: | Several normed spaces of measurable, in certain sense, mappings with values in the space of signed measures are studied. Completness of these space is investigated as well as integrals of such mappings. It is shown that the integrals of such mappings are countably additive and integration with respect to this integral is also considered. We also study the case when the base space is a metric space and in this situation we consider Kantorovich - Rubinstein norm. This is joint work with V. Bogachev and M. Krstić. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/3148 |
| Appears in Collections: | Research outputs |
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