We prove a disc formula for the weighted Siciak-Zahariuta extremal function 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-11, author = {Benedikt Steinar Magn\'usson and Ragnar Sigurdsson}, title = {Disc formulas for the weighted Siciak-Zahariuta extremal function}, journal = {Annales Polonici Mathematici}, volume = {92}, year = {2007}, pages = {241-247}, zbl = {1124.32016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-11} }
Benedikt Steinar Magnússon; Ragnar Sigurdsson. Disc formulas for the weighted Siciak-Zahariuta extremal function. Annales Polonici Mathematici, Tome 92 (2007) pp. 241-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-11/