We establish the maximal regularity for nonautonomous Ornstein-Uhlenbeck
operators in Lp-spaces with respect to a family of invariant measures, where
p∈(1,+∞). This result follows from the maximal Lp-regularity for a
class of elliptic operators with unbounded, time-dependent drift coefficients
and potentials acting on Lp(RN) with Lebesgue measure