Email this article Densities of Measures as an Alternative to Derivatives for Measurable Inclusions
- Authors: Tolstonogov A.A.1
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Affiliations:
- Matrosov Institute for System Dynamics and Control Theory, of Siberian Branch of Russian Academy of Sciences
- Issue: Vol 53, No 4 (2019)
- Pages: 281-290
- Section: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234659
- DOI: https://doi.org/10.1134/S0016266319040051
- ID: 234659
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Abstract
Rules for calculating the densities of Borel measures which are absolutely continuous with respect to a positive nonatomic Radon measure are considered. The Borel measures are generated by composite functions which depend on continuous functions of bounded variation defined on an interval. Questions related to the absolute continuity of Borel measures generated by composite functions with respect to a positive Radon measure and rules for calculating the densities of Borel measures generated by composite functions with respect to a positive nonatomic Radon measure are studied.
About the authors
A. A. Tolstonogov
Matrosov Institute for System Dynamics and Control Theory, of Siberian Branch of Russian Academy of Sciences
Author for correspondence.
Email: aatol@icc.ru
Russian Federation, Irkutsk
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