Equivalence of Sobolev norms with respect to weighted Gaussian measures

Davide Addona

We consider the spaces $L^p(X,\nu ;V)$, where $X$ is a separable Banach space, $\mu$ is a centred non-degenerate Gaussian measure, $\nu :=K{e}^{-U}\mu$ with normalizing factor $K$ and $V$ is a…