This article is cited in 10 papers

Sample Functions of Stochastic Measures and Besov Spaces

V. M. Radchenko

National Taras Shevchenko University of Kyiv

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

DOI: 10.4213/tvp2552

 English version: Theory of Probability and its Applications, 2010, 54:1, 160–168

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