Gradient contractivity of a rescaled resolvent on domains Wiener spaces

Given an abstract Wiener space(X,\gamma,H), we consider an open set O in X which satisfies certain smoothness and mean- curvature conditions. We prove that therescaled resolvent operator associated to the Ornstein-Uhlenbeck operator with homoge-neous Dirichlet boundary conditions on O is gradient contractive in L^p(X,\gamma) for every p in (1,\infty). This is the Gaussian counterpart of an analogous result for the rescaled resolvent operator associated to the Laplace operator in L^p with respect to the Lebesgue measure and p in [1,\infty), with homogeneous Dirichlet boundary conditions on a bounded convex open set O in R^n