The Siciak-Zahariuta extremal function as the envelope of disc functionals

Finnur Lárusson, and Ragnar Sigurdsson. "The Siciak-Zahariuta extremal function as the envelope of disc functionals." Annales Polonici Mathematici 86.2 (2005): 177-192. <http://eudml.org/doc/280244>.

@article{FinnurLárusson2005,
abstract = {We establish disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We extend Lempert's formula for this function from the convex case to the connected case.},
author = {Finnur Lárusson, Ragnar Sigurdsson},
journal = {Annales Polonici Mathematici},
keywords = {plurisubharmonic functions; extremal functions; pluricomplex Green function; disc functional},
language = {eng},
number = {2},
pages = {177-192},
title = {The Siciak-Zahariuta extremal function as the envelope of disc functionals},
url = {http://eudml.org/doc/280244},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Finnur Lárusson
AU - Ragnar Sigurdsson
TI - The Siciak-Zahariuta extremal function as the envelope of disc functionals
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 2
SP - 177
EP - 192
AB - We establish disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We extend Lempert's formula for this function from the convex case to the connected case.
LA - eng
KW - plurisubharmonic functions; extremal functions; pluricomplex Green function; disc functional
UR - http://eudml.org/doc/280244
ER -