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Disc formulas for the weighted Siciak-Zahariuta extremal function

Benedikt Steinar Magnússon; Ragnar Sigurdsson — 2007

Annales Polonici Mathematici

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 ℂⁿ. This function is also known as the weighted Green function with logarithmic pole at infinity and weighted global extremal function.

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