$L^2$ estimates of Poincaré-Lelong equations on convex domains in ${\mathbb{C}}^n$

Shaoyu Dai, Yang Liu, Yifei Pan

In this paper, we prove the existence of solutions of the Poincaré-Lelong equation $\sqrt{-1}\partial \bar{\partial }u=f$ on a strictly convex bounded domain $\Omega \subset {\mathbb{C}}^n$ $…