Abstract
Let $X = \{X(t); t \in T\}$ be a measurable symmetric $\alpha$-stable process, $0 < \alpha < 2$. In this paper necessary and sufficient conditions for $X$ to have almost all sample paths in an Orlicz space $\mathbb{L}_\psi(T, \mu)$ with a function $\psi$ satisfying the $\Delta_2$-condition are given.
Citation
Rimas Norvaisa. Gennady Samorodnitsky. "Stable Processes with Sample Paths in Orlicz Spaces." Ann. Probab. 22 (4) 1904 - 1929, October, 1994. https://doi.org/10.1214/aop/1176988489
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