Disc formulas for the weighted Siciak-Zahariuta extremal function

Benedikt Steinar Magnússon, and Ragnar Sigurdsson. "Disc formulas for the weighted Siciak-Zahariuta extremal function." Annales Polonici Mathematici 91.2-3 (2007): 241-247. <http://eudml.org/doc/280309>.

@article{BenediktSteinarMagnússon2007,
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 ℂⁿ. This function is also known as the weighted Green function with logarithmic pole at infinity and weighted global extremal function.},
author = {Benedikt Steinar Magnússon, Ragnar Sigurdsson},
journal = {Annales Polonici Mathematici},
keywords = {plurisubharmonic function; weighted Siciak-Zahariuta extremal function; analytic disc; disc functional; envelope},
language = {eng},
number = {2-3},
pages = {241-247},
title = {Disc formulas for the weighted Siciak-Zahariuta extremal function},
url = {http://eudml.org/doc/280309},
volume = {91},
year = {2007},
}

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
VL - 91
IS - 2-3
SP - 241
EP - 247
AB - 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 ℂⁿ. This function is also known as the weighted Green function with logarithmic pole at infinity and weighted global extremal function.
LA - eng
KW - plurisubharmonic function; weighted Siciak-Zahariuta extremal function; analytic disc; disc functional; envelope
UR - http://eudml.org/doc/280309
ER -