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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 10 scientific papers (total in 10 papers)

Sample Functions of Stochastic Measures and Besov Spaces

V. M. Radchenko

National Taras Shevchenko University of Kyiv
Full-text PDF (159 kB) Citations (10)
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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 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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