English

An existence theorem for non-pluripolar complex Monge-Amp\`ere type equations on hyperconvex domains

Complex Variables 2025-07-25 v1

Abstract

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

Keywords

Cite

@article{arxiv.2507.18116,
  title  = {An existence theorem for non-pluripolar complex Monge-Amp\`ere type equations on hyperconvex domains},
  author = {Thai Duong Do and Ngoc Thanh Cong Pham},
  journal= {arXiv preprint arXiv:2507.18116},
  year   = {2025}
}
R2 v1 2026-07-01T04:16:28.596Z