Some remarks on the Cegrell class $\mathcal{F}$
Volume 125 / 2020
Annales Polonici Mathematici 125 (2020), 13-24
MSC: Primary 32U05, 32U15; Secondary 32T15, 31C10.
DOI: 10.4064/ap200122-26-4
Published online: 3 July 2020
Abstract
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.