The Range of the Monge-Ampère operator $(\omega +d{d}^c.{)}^n$ in bounded domains

Omar Alehyane, Fatima Zahra Assila, Mohammed Salouf

Let $\Omega$ be a bounded strictly pseudoconvex domain of ${\mathbb{C}}^n$. We solve degenerate complex Monge-Ampère equations of the form $(\omega +d{d}^c\phi {)}^n=\mu$ in the generalized Cegrell c…