On the Dirichlet problem in the Cegrell classes
Volume 84 / 2004
Annales Polonici Mathematici 84 (2004), 273-279
MSC: Primary 32W20; Secondary 32U15.
DOI: 10.4064/ap84-3-7
Abstract
Let $\mu $ be a non-negative measure with finite mass given by $\varphi (dd^{c}\psi )^{n}$, where $\psi $ is a bounded plurisubharmonic function with zero boundary values and $\varphi \in L^{q}((dd^{c}\psi )^{n})$, $\varphi \geq 0$, $1 \leq q \leq \infty $. The Dirichlet problem for the complex Monge–Ampère operator with the measure $\mu $ is studied.
