Disc formulas for the weighted Siciak-Zahariuta extremal function

Details Disc formulas for the weighted Siciak-Zahariuta extremal function Disc formulas for the weighted Siciak-Zahariuta extremal function

2006-12-29

arxiv.org/abs/math/0612851v1

Mathematics

Complex Variables

Scientific paper

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 $\C^n$. This function is also known as the weighted Green function with
logaritmic pole at infinity and weighted global extremal function.

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