On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures

Lunardi, Alessandra

doi:10.1090/S0002-9947-97-01802-3

On the Ornstein-Uhlenbeck operator in $L^2$ spaces with respect to invariant measures
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Trans. Amer. Math. Soc. 349 (1997), 155-169 Request permission

Abstract:

We consider a class of elliptic and parabolic differential operators with unbounded coefficients in $\mathbb R^n$, and we study the properties of the realization of such operators in suitable weighted $L^2$ spaces.

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