Harmonic majorants for plurisubharmonic functions on bounded symmetric domains with applications to the spaces H... and N*.
The mutual singularity problem for measures with restrictions on the spectrum is studied. The -pluriharmonic Riesz product construction on the complex sphere is introduced. Singular pluriharmonic measures supported by sets of maximal Hausdorff dimension are obtained.
We point out relations between Siciak’s homogeneous extremal function and the Cauchy-Poisson transform in case is a ball in ℝ². In particular, we find effective formulas for for an important class of balls. These formulas imply that, in general, is not a norm in ℂ².