Disc formulas for the weighted 
Siciak&amp;#8211;Zahariuta extremal function

Benedikt Steinar Magnússon; Ragnar Sigurdsson

doi:10.4064/ap91-2-11

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Annales Polonici Mathematici / All issues

Disc formulas for the weighted Siciak–Zahariuta extremal function

Volume 91 / 2007

Benedikt Steinar Magnússon, Ragnar Sigurdsson Annales Polonici Mathematici 91 (2007), 241-247 MSC: Primary 32U35; Secondary 32U15. DOI: 10.4064/ap91-2-11

Abstract

We prove a disc formula for the weighted Siciak–Zahariuta extremal function $V_{X,q}$ for an upper semicontinuous function $q$ on an open connected subset $X$ in $\mathbb C^n$ . This function is also known as the weighted Green function with logarithmic pole at infinity and weighted global extremal function.

Authors

Benedikt Steinar MagnússonScience Institute
University of Iceland
Dunhaga 3
IS-107 Reykjavík, Iceland
e-mail
Ragnar SigurdssonScience Institute
University of Iceland
Dunhaga 3
IS-107 Reykjavík, Iceland
e-mail

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