English

On the weighted m-energy classes

Complex Variables 2022-07-15 v1

Abstract

In this article, we investigate the weighted mm-subharmonic functions. We shall give some properties of this class and consider its relation to the mm-Cegrell classes. We also prove an integration theorem and an almost everywhere convergence theorem for this class.

Keywords

Cite

@article{arxiv.2207.06723,
  title  = {On the weighted m-energy classes},
  author = {Thai Duong Do and Van Thien Nguyen},
  journal= {arXiv preprint arXiv:2207.06723},
  year   = {2022}
}
R2 v1 2026-06-25T00:54:24.215Z