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Teoriya Veroyatnostei i ee Primeneniya, 2009, Volume 54, Issue 1, Pages 161–169
DOI: https://doi.org/10.4213/tvp2552 (Mi tvp2552) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Sample Functions of Stochastic Measures and Besov Spaces

V. M. Radchenko

National Taras Shevchenko University of Kyiv
Full-text PDF (159 kB) Citations (9)
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DOI: https://doi.org/10.4213/tvp2552
Abstract: This paper considers stochastic measures, i.e., sets of functions given on the Borel sigma-algebra in $[0,1]^d$ sigma-additive with respect to probability. It is shown that realizations of continuous random functions generated by stochastic measures belong to the Besov spaces under some general sufficiently assumptions.
Keywords: stochastic measure, Besov spaces, trajectories of random functions.
Received: 14.05.2007
English version:
Theory of Probability and its Applications, 2010, Volume 54, Issue 1, Pages 160–168
DOI: https://doi.org/10.1137/S0040585X97984048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Radchenko, “Sample Functions of Stochastic Measures and Besov Spaces”, Teor. Veroyatnost. i Primenen., 54:1 (2009), 161–169; Theory Probab. Appl., 54:1 (2010), 160–168
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v54/i1/p161
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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