Geodesic
Sample Functions of Stochastic Measures and Besov Spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 161-169

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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, trajectories of random functions.
Mots-clés : Besov spaces 
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     author = {V. M. Radchenko},
     title = {Sample {Functions} of {Stochastic} {Measures} and {Besov} {Spaces}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {161--169},
     publisher = {mathdoc},
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     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a9/}
}
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V. M. Radchenko. Sample Functions of Stochastic Measures and Besov Spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 161-169. http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a9/