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20202026
most citedRegularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces

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math.AP2023

Log-Sobolev inequalities and hypercontractivity for Ornstein-Uhlenbeck evolution operators in infinite dimensions

Davide A. Bignamini, Paolo De Fazio

In an infinite dimensional separable Hilbert space , we study the realizations of Ornstein-Uhlenbeck evolution operators $\pst$ in the spaces $L^p(X,\g_t)$, $\{\g_t\}_{t\in\R}$…