Geodesic
Homogeneous extremal function for a ball in ℝ²
Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 141-150

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

We point out relations between Siciak's homogeneous extremal function $Ψ_B$ and the Cauchy-Poisson transform in case $B$ is a ball in ℝ². In particular, we find effective formulas for $Ψ_B$ for an important class of balls. These formulas imply that, in general, $Ψ_B$ is not a norm in ℂ².
DOI : 10.4064/ap-71-2-141-150
Keywords: homogeneous extremal function, Cauchy-Poisson transform

Mirosław Baran 1

1 
@article{10_4064_ap_71_2_141_150,
     author = {Miros{\l}aw Baran},
     title = {Homogeneous extremal function for a ball in {\ensuremath{\mathbb{R}}{\texttwosuperior}}},
     journal = {Annales Polonici Mathematici},
     pages = {141--150},
     publisher = {mathdoc},
     volume = {71},
     number = {2},
     year = {1999},
     doi = {10.4064/ap-71-2-141-150},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-141-150/}
}
TY  - JOUR
AU  - Mirosław Baran
TI  - Homogeneous extremal function for a ball in ℝ²
JO  - Annales Polonici Mathematici
PY  - 1999
SP  - 141
EP  - 150
VL  - 71
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-141-150/
DO  - 10.4064/ap-71-2-141-150
LA  - en
ID  - 10_4064_ap_71_2_141_150
ER  - 
%0 Journal Article
%A Mirosław Baran
%T Homogeneous extremal function for a ball in ℝ²
%J Annales Polonici Mathematici
%D 1999
%P 141-150
%V 71
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-141-150/
%R 10.4064/ap-71-2-141-150
%G en
%F 10_4064_ap_71_2_141_150
Mirosław Baran. Homogeneous extremal function for a ball in ℝ². Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 141-150. doi: 10.4064/ap-71-2-141-150

Cité par Sources :