Homogeneous extremal function for a ball in ℝ²

Volume 71 / 1999

Mirosław Baran Annales Polonici Mathematici 71 (1999), 141-150 DOI: 10.4064/ap-71-2-141-150


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.


  • Mirosław Baran

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