Maximal subextension and approximation of $m-$subharmonic function

Nguyen Van Phu; Nguyen Quang Dieu

Maximal subextension and approximation of $m-$subharmonic function

Complex Variables 2024-02-05 v2

Authors: Nguyen Van Phu , Nguyen Quang Dieu

Abstract

In this paper, we first study subextensions in the classes $\mathcal{F}_{m}(\Omega)$ and $\mathcal{E}_{m,\chi}(\Omega)$ . These results are then used to study approximation in the classes $\mathcal{F}_{m}(\Omega)$ and $\mathcal{E}_{m,\chi}(\Omega)$ .

Cite

@article{arxiv.2307.03957,
  title  = {Maximal subextension and approximation of $m-$subharmonic function},
  author = {Nguyen Van Phu and Nguyen Quang Dieu},
  journal= {arXiv preprint arXiv:2307.03957},
  year   = {2024}
}

Comments

24 pages, accepted to Michigan Mathematical Journal with small revisions

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