Invariant plurisubharmonic functions on non-compact Hermitian symmetric spaces (Q2070921)

Given an irreducible non-compact Hermitian symmetric space \(G/K\) and a \(K\)-invariant domain \(D\) in \(G/K\) the authors provide characterisations of different classes of \(K\)-invariant plurisubharmonic functions on \(D\) in terms of their restrictions to a slice which intersects all \(K\)-orbits. They reproduce the classification of Stein \(K\)-invariant domains in \(G/K\) given by \textit{E. Bedford} and \textit{J. Dadok} [J. Geom. Anal. 1, No. 1, 1--17 (1991; Zbl 0724.32016)], and they prove that the \(K\)-invariant plurisubharmonic functions on \(D\) are continuous.