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Vietnam Journal of Mathematics 33:3 (2005) 335-342

 A Remark on the Dirichlet Problem

Pham Hoang Hiep

Abstract.  Given a positive measure μ on a strongly pseudoconvex domain in Cⁿ. We study the Dirichlet problem (dd^cu)ⁿ = μ in a new class of plurisubharmonic function. This class includes the classes E_p (p 1) introduced by Cegrell in [5] (U. Cegrell, Pluricomplex energy, Acta Math. 180 (1998) 187--217).

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