Abstract. Given a positive measure μ on
a strongly pseudoconvex domain in Cn. We study the Dirichlet
problem (ddcu)n = μ in a new class
of plurisubharmonic function. This class includes the classes Ep (p 1) introduced by Cegrell in  (U.
Cegrell, Pluricomplex energy, Acta Math. 180 (1998)