Riesz Potentials, Bessel Potentials and Fractional Derivatives on   Besov-Lipschtz spaces for the Gaussian Measure
  In this paper we will study the boundedness of Riesz Potentials, Bessel potentials and Fractional Derivatives on Gaussian Besov-Lipschitz spaces $B_{p,q}^{\alpha}(\gamma_d)$. Also these results can be extended to the case of Laguerre or Jacobi expansions and even further to the general framework of diffusions semigroups. 
A. Eduardo Gatto, Ebner Pineda and Wilfredo Urbina
math.CA