Disc formulas for the weighted Siciak-Zahariuta extremal function

2006/12/29 by Magnusson, Benedikt Steinar, Sigurdsson, Ragnar
#32U10 #32U15 #32U30 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0612851

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

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