The Siciak-Zahariuta extremal function as the envelope of disc functionals

• Autorzy: Finnur Lárusson , Ragnar Sigurdsson
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32U35: Pluricomplex Green functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 2
• Strony: 177-192

Daty

wydano

2005

Twórcy

autor

Finnur Lárusson

• Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada

autor

Ragnar Sigurdsson

• Science Institute, University of Iceland, Dunhaga 3, IS-107 Reykjavík, Iceland

Identyfikatory

DOI

10.4064/ap86-2-8