Remarks on Brunn-Minkowski-type inequalities related to the Ornstein-Uhlenbeck operator

Francisco Marín Sola, Francesco Salerno

We investigate Brunn-Minkowski-type inequalities for the torsional rigidity $T_{\gamma }$ and the first eigenvalue ${\lambda }_{\gamma }$ associated with the Ornstein-Uhlenbeck operator. Counterexamples ar…