L'équation de Poisson pour les formes différentielles sur un espace symétrique et ses applications

We prove Lp and weighted Lp estimates for the solutions α of the Poisson equation Δα=β on differential forms with data β in Lp or in weighted Lp, in a symmetric space M. We study carefully the range of p for which the de Rham-Hodge projection, a priori defined on L2, is bounded on Lp.