English

Approximation of $m-$subharmonic functions on bounded domains in $\mathbb C^n$

Complex Variables 2017-11-16 v1

Abstract

Let DD be a bounded domain in Cn\mathbb C^n. We study approximation of (not necessarily bounded from above) mm-subharmonic function DD by continuous mm-subharmonic ones defined on neighborhoods of D\overline{D}. We also consider the existence of a mm-subharmonic function on DD whose boundary values coincides with a given real valued continuous function on D\partial D except for a sufficiently small subset of D.\partial D.

Keywords

Cite

@article{arxiv.1711.05657,
  title  = {Approximation of $m-$subharmonic functions on bounded domains in $\mathbb C^n$},
  author = {Nguyen Quang Dieu and Dau Hoang Hung and Hoang Thieu Anh and Sanphet Ounheuan},
  journal= {arXiv preprint arXiv:1711.05657},
  year   = {2017}
}
R2 v1 2026-06-22T22:47:03.576Z