English

Subextension and approximation of $m$-subharmonic functions with given boundary values

Complex Variables 2025-12-18 v2

Abstract

In this paper we establish a result on subextension of mm-subharmonic functions in the class Fm(Ω,f)\mathcal{F}_m(\Omega,f) without changing the hessian measures. As application, we approximate a mm-subharmonic function with given boudary value by an increasing sequence of mm-subharmonic functions defined on larger domains.

Keywords

Cite

@article{arxiv.2311.10396,
  title  = {Subextension and approximation of $m$-subharmonic functions with given boundary values},
  author = {Hichame Amal and Ayoub El Gasmi},
  journal= {arXiv preprint arXiv:2311.10396},
  year   = {2025}
}
R2 v1 2026-06-28T13:24:05.149Z