Disc formulas for the weighted Siciak–Zahariuta extremal function
Volume 91 / 2007
Annales Polonici Mathematici 91 (2007), 241-247
MSC: Primary 32U35; Secondary 32U15.
DOI: 10.4064/ap91-2-11
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 $\mathbb C^n$. This function is also known as the weighted Green function with logarithmic pole at infinity and weighted global extremal function.