English

On the approximation of weakly plurifinely plurisubharmonic functions

Complex Variables 2018-01-26 v1

Abstract

In this note, we study the approximation of singular plurifinely plurisubharmonic function uu defined on a plurifinely domain Ω\Omega. Under some conditions, we prove that uu can be approximated by an increasing sequence of plurisubharmonic functions defined on Euclidean neighborhoods of Ω\Omega.

Keywords

Cite

@article{arxiv.1801.08342,
  title  = {On the approximation of weakly plurifinely plurisubharmonic functions},
  author = {Nguyen Xuan Hong and Hoang Van Can},
  journal= {arXiv preprint arXiv:1801.08342},
  year   = {2018}
}