Speaker
Giorgio Metafune
(Università del Salento)
Description
We describe the spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators in $L^p(\mathbb R^N)$ with respect to the Lebesgue measure. It turns out that the spectrum is the sum of the spectra of the diffusion term and of the drift term. Our result gives a complete picture of the spectral properties of Ornstein--Uhlenbeck operators in $L^p$ spaces.