English

Some remarks on the Cegrell's class $\mathcal{F}$

Complex Variables 2019-04-30 v1

Abstract

In this paper, we study the near-boundary behavior of functions uF(Ω)u\in\mathcal{F}(\Omega) in the case where Ω\Omega is strictly pseudoconvex. We also introduce a sufficient condition for belonging to F\mathcal{F} in the case where Ω\Omega is the unit ball.

Keywords

Cite

@article{arxiv.1904.12246,
  title  = {Some remarks on the Cegrell's class $\mathcal{F}$},
  author = {Hoang-Son Do and Thai Duong Do},
  journal= {arXiv preprint arXiv:1904.12246},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-23T08:51:22.860Z