The Siciak–Zahariuta extremal function as the envelope of disc functionals
Tom 86 / 2005
Annales Polonici Mathematici 86 (2005), 177-192
MSC: Primary 32U35.
DOI: 10.4064/ap86-2-8
Streszczenie
We establish disc formulas for the Siciak–Zahariuta extremal function of an arbitrary open subset of complex affine space. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We extend Lempert's formula for this function from the convex case to the connected case.
