This is the abstract of the paper "The domain of the Ornstein-Uhlenbeck operator on an L^p-space with invariant measure" by Giorgio Metafune and Jan Pruess and Abdelaziz Rhandi and Roland Schnaubelt. For the whole paper send the command get evolve-l 01-00046 to: "listserv@uni-karlsruhe.de". Instead you may get the paper at "http://maserv.mathematik.uni-karlsruhe.de/~mi1weis/evolve-l/index.html" too. Abstract: We show that the domain of the Ornstein-Uhlenbeck operator on $L^p(\R^N,\mu dx)$ equals the weighted Sobolev space $W^{2,p}(\R^N,\mu dx)$, where $\mu dx$ is the corresponding invariant measure. Our approach relies on the operator sum method, namely the commutative and the non commutative Dore-Venni theorems. ------------------ http://www.uni-karlsruhe.de/~listserv/ ------------------