Conditions of boundedness and continuity of stochastic processes from some Orlicz spaces in terms of majorizing measures. (Russian) Zbl 0747.60010

Kozachenko, Yu. V.; Ryazantseva, V. V.

Teor. Veroyatn. Mat. Stat., Kiev 44, 72-79 (1991).

The authors consider stochastic processes \(\xi(t)\) from some Orlicz spaces of stochastic processes generated by the \(N\)-function \(U(x)\) from the classes \(\Delta^ 2\). The authors obtain in terms of majorizing measures conditions for the boundedness of the supremum of \(\xi(t)\).

Reviewer: O.Lipovan (Timişoara)

MSC:

60B11

Probability theory on linear topological spaces

Keywords:

Orlicz spaces; majorizing measures; conditions for the boundedness of the supremum