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Disc formulas for the weighted Siciak-Zahariuta extremal function

Benedikt Steinar Magnusson, Ragnar Sigurdsson

math.CVarXiv:math/0612851

Abstract

We prove a disc formula for the weighted Siciak-Zahariuta extremal function VX,q for an upper semicontinuous function q on an open connected subset X in 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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