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Subjects
31-XX Potential theory
31Cxx Other generalizations
31C10 Pluriharmonic and plurisubharmonic functions

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Harmonic majorants for plurisubharmonic functions on bounded symmetric domains with applications to the spaces H... and N*.

Manfred Stoll (1976)

Journal für die reine und angewandte Mathematik

Henkin measures, Riesz products and singular sets

Evgueni Doubtsov (1998)

Annales de l'institut Fourier

The mutual singularity problem for measures with restrictions on the spectrum is studied. The $d$ -pluriharmonic Riesz product construction on the complex sphere is introduced. Singular pluriharmonic measures supported by sets of maximal Hausdorff dimension are obtained.

Homogeneous extremal function for a ball in ℝ²

Mirosław Baran (1999)

Annales Polonici Mathematici

We point out relations between Siciak’s homogeneous extremal function $Ψ_{B}$ and the Cauchy-Poisson transform in case $B$ is a ball in ℝ². In particular, we find effective formulas for $Ψ_{B}$ for an important class of balls. These formulas imply that, in general, $Ψ_{B}$ is not a norm in ℂ².

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