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... Such estimates and assumptions under which semi-norms of sample functions of processes from F ψ (Ω) spaces, defined on a compact space, satisfy the Hölder conditions were obtained in [11]. Also estimates for distributions of supremum of the increments of processes belonging to F ψ (Ω) spaces were investigated by Mlavets [14]. ...

In the present article we study properties of random processes from the Banach spaces F ψ (Ω). Estimates are obtained for distributions of semi-norms of sample functions of processes from F ψ (Ω) spaces, defined on the infinite interval [0,∞), in Hölder spaces.

The continuity conditions, exponential bounds and central limit theorem for random fields.

- S V Ermakov
- E I Ostrovsky
- Ermakov