Simone Ferrari

activity

20212026

collaborators

3 papers

math.AP2026

Hypercontractivity type property for generalized Mehler semigroups

Luciana Angiuli, Simone Ferrari

We investigate the hypercontractivity property of generalized Mehler semigroups on the $L^{p}$ -scale with respect to invariant measures. This property is first obtained in the purely…

math.PR2023

$L^{p}$ - $L^{q}$ estimates for transition semigroups associated to dissipative stochastic systems

Luciana Angiuli, Davide A. Bignamini, Simone Ferrari

In a separable Hilbert space, we study supercontractivity and ultracontractivity properties for a transition semigroups associated with a stochastic partial differential equations.…

math.PR2021

Logarithmic Harnack inequalities for transition semigroups in Hilbert spaces

L. Angiuli, D. A. Bignamini, S. Ferrari

We consider the stochastic differential equation ${d X (t) = [A X (t) + F (X (t))] d t + C^{1/2} d W (t), X (0) = x \in X; t > 0;$ where $\m…

Hypercontractivity type property for generalized Mehler semigroups

Lp-Lq estimates for transition semigroups associated to dissipative stochastic systems

Logarithmic Harnack inequalities for transition semigroups in Hilbert spaces

$L^{p}$ - $L^{q}$ estimates for transition semigroups associated to dissipative stochastic systems