Homogeneous extremal function for a ball in ℝ²
Volume 71 / 1999
Annales Polonici Mathematici 71 (1999), 141-150
DOI: 10.4064/ap-71-2-141-150
Abstract
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.
