Spectrum of Ornstein-Uhlenbeck Operators in Lp Spaces with Respect to Invariant Measures

Let A=∑i,j=1NqijDij+∑i,j=1NbijxjDi be a possibly degenerate Ornstein–Uhlenbeck operator in RN and assume that the associated Markov semigroup has an invariant measure μ. We compute the spectrum of A in Lμp for 1⩽p<∞.