Disc formulas for the weighted Siciak–Zahariuta extremal function

Volume 91 / 2007

Benedikt Steinar Magnússon, Ragnar Sigurdsson 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.

Authors

  • Benedikt Steinar MagnússonScience Institute
    University of Iceland
    Dunhaga 3
    IS-107 Reykjavík, Iceland
    e-mail
  • Ragnar SigurdssonScience Institute
    University of Iceland
    Dunhaga 3
    IS-107 Reykjavík, Iceland
    e-mail

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