Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values
Complex Variables
2025-06-11 v3
Abstract
We first study subextensions of m-subharmonic functions in weighted energy classes with given boundary values. The results are used to approximate an m-subharmonic function in weighted energy classes with given boundary values by an increasing sequence of m-subharmonic functions defined on larger domains.
Cite
@article{arxiv.2503.05855,
title = {Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values},
author = {Nguyen Van Phu},
journal= {arXiv preprint arXiv:2503.05855},
year = {2025}
}
Comments
24 pages, final version in Bulletin of the Malaysian Mathematical Sciences Society