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. © World Scientific Publishing Company.