Integral functional inequalities for generalized Mehler semigroups

Angiuli Luciana, Dipartimento di Matematica e Fisica "E.De Giorgi"-Università del Salento

We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure, we prove integral functional inequalities, such as logarithmic Sobolev and Poincaré type inequalities. The integrability of exponential functions with respect to the invariant measure is also deduced.

Area: CS46 - Semilinear Stochastic Differential Equations in Infinite-Dimensional Spaces (Alessandra Cretarola)

Keywords: generalized Mehler semigropus, logarithmic Sobolev inequalities

Il paper è coperto da copyright.