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Abstract.
Given a positive measure $\mu$ on a strongly pseudoconvex domain in $\text{\bf C}^n$.
We study the Dirichlet problem $(dd^cu)^n=\mu$ in a new class of
plurisubharmonic function. This class includes the classes $\mathcal E_p$ ($p \geq1$)
introduced by Cegrell in [5] (U. Cegrell, Pluricomplex energy, Acta Math. 180 (1998) 187--217).
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