An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains

Abstract

In this paper, we study the non-pluripolar complex Monge-Ampère measure on bounded domains in \( \mathbb{C}^n \). We establish a general existence theorem for a non-pluripolar complex Monge-Ampère type equation with prescribed singularity on a bounded hyperconvex domain in \( \mathbb{C}^n \).