PERRON–BREMERMANN ENVELOPES ON BOUNDED DOMAINS IN ℂn

Abstract

An example about non-convergence of Perron–Bremermann envelopes on the unit ball in Cn is constructed. Under additional conditions, we show that convergence of envelopes is possible. We also deal with a representation of envelope in the style of Poletsky on domains which are not necessarily strictly pseudoconvex.