In an infinite dimensional separable Hilbert space X, we study the
realizations of Ornstein-Uhlenbeck evolution operators \pst in the spaces
L^p(X,\g_t), \{\g_t\}_{t\in\R} being the unique evolution system of
measures for \pst in R. We prove hyperconctractivity results, relying on
suitable Log-Sobolev estimates. Among the examples we consider the transition
evolution operator of a non autonomous stochastic parabolic PDE