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

Abstract

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

8 pages

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