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 
@article{10_4064_ap91_2_11,
     author = {Benedikt Steinar Magn\'usson and Ragnar Sigurdsson},
     title = {Disc formulas for the weighted {
Siciak{\textendash}Zahariuta} extremal function},
     journal = {Annales Polonici Mathematici},
     pages = {241--247},
     publisher = {mathdoc},
     volume = {91},
     number = {2-3},
     year = {2007},
     doi = {10.4064/ap91-2-11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap91-2-11/}
}
TY  - JOUR
AU  - Benedikt Steinar Magnússon
AU  - Ragnar Sigurdsson
TI  - Disc formulas for the weighted 
Siciak–Zahariuta extremal function
JO  - Annales Polonici Mathematici
PY  - 2007
SP  - 241
EP  - 247
VL  - 91
IS  - 2-3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap91-2-11/
DO  - 10.4064/ap91-2-11
LA  - en
ID  - 10_4064_ap91_2_11
ER  - 
%0 Journal Article
%A Benedikt Steinar Magnússon
%A Ragnar Sigurdsson
%T Disc formulas for the weighted 
Siciak–Zahariuta extremal function
%J Annales Polonici Mathematici
%D 2007
%P 241-247
%V 91
%N 2-3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap91-2-11/
%R 10.4064/ap91-2-11
%G en
%F 10_4064_ap91_2_11
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

Cité par Sources :