Some Exponential Moment Inequalities for the Wiener Functionals

AbstractIn this paper we prove, mainly, three probabilistic inequalities with which we can control the exponential moments of different Wiener functionals. The first one is a general exponential inequality for the functionals of a Markov process defined with a symmetric Dirichlet form under its invariant probability. The second one is for the Wiener functionals whose derivatives' norms' square are exponentially integrable and the third one is for the Wiener functionals of the divergence for