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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 $\mu$ 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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