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Disc formulas for the weighted Siciak-Zahariuta extremal function

Benedikt Steinar Magnusson·Ragnar Sigurdsson
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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 $\C^n$. This function is also known as the weighted Green function with logaritmic pole at infinity and weighted global extremal function.

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Benedikt Steinar Magnusson, Ragnar Sigurdsson. 2006-12-29. Disc formulas for the weighted Siciak-Zahariuta extremal function. https://arxiv.org/abs/math/0612851

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