English

Complex Monge-Amp\`ere equations for plurifinely plurisubharmonic functions

Complex Variables 2022-10-10 v2

Abstract

This paper studies the complex Monge-Amp\`ere equations for F\mathcal F-plurisubharmonic functions in bounded F\mathcal F-hyperconvex domains. We give sufficient conditions for this equation to solve for measures with a singular part.

Keywords

Cite

@article{arxiv.2206.09323,
  title  = {Complex Monge-Amp\`ere equations for plurifinely plurisubharmonic functions},
  author = {Nguyen Xuan Hong and Hoang Van Can and Nguyen Thi Lien and Pham Thi Lieu},
  journal= {arXiv preprint arXiv:2206.09323},
  year   = {2022}
}
R2 v1 2026-06-24T11:56:18.915Z