Geodesic
Disc formulas for the weighted Siciak–Zahariuta extremal function
Benedikt Steinar Magnússon1 ; Ragnar Sigurdsson1
1 Science Institute University of Iceland Dunhaga 3 IS-107 Reykjavík, Iceland
Annales Polonici Mathematici, Tome 91 (2007) no. 2-3, pp. 241-247.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap91-2-11
Keywords: prove disc formula weighted siciak zahariuta extremal function upper semicontinuous function connected subset mathbb function known weighted green function logarithmic pole infinity weighted global extremal function

Benedikt Steinar Magnússon 1 ; Ragnar Sigurdsson 1

1 Science Institute University of Iceland Dunhaga 3 IS-107 Reykjavík, Iceland 
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Benedikt Steinar Magnússon; Ragnar Sigurdsson. Disc formulas for the weighted 
Siciak–Zahariuta extremal function. Annales Polonici Mathematici, Tome 91 (2007) no. 2-3, pp. 241-247. doi : 10.4064/ap91-2-11. http://geodesic.mathdoc.fr/articles/10.4064/ap91-2-11/

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