Potentials on abstract Wiener space

The infinite dimensional Green measure g is shown to be a product measure and this provides sufficient conditions for the existence and the differentiability of potentials. Moreover, it is shown how such conditions can be used to prove that if f is Lip and if we set u = Gf, then first D²u is Lip too and second u satisfies Δu = ?2f for a wide class of functions f with arbitrary support.