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Disc formulas for the weighted Siciak–Zahariuta extremal function

2007; Polish Academy of Sciences; Volume: 91; Issue: 2-3 Linguagem: Inglês

10.4064/ap91-2-11

1730-6272

Benedikt Steinar Magnússon, Ragnar Sigurðsson,

Holomorphic and Operator Theory

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 $\mathbb C^n$. This function is also known as the weighted Green function with log