  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.

Classical Analysis and ODEs