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arxiv: math/0612851 · v1 · submitted 2006-12-29 · 🧮 math.CV

Disc formulas for the weighted Siciak-Zahariuta extremal function

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keywords functionweightedextremaldiscsiciak-zahariutaconnectedformulaformulas
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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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