On the product property for the transfinite diameter
Zbigniew Błocki ; Armen Edigarian ; Józef Siciak
Annales Polonici Mathematici, Tome 101 (2011), p. 209-214 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We give a pluripotential-theoretic proof of the product property for the transfinite diameter originally shown by Bloom and Calvi. The main tool is the Rumely formula expressing the transfinite diameter in terms of the global extremal function.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:281085 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-3-1,
     author = {Zbigniew B\l ocki and Armen Edigarian and J\'ozef Siciak},
     title = {On the product property for the transfinite diameter},
     journal = {Annales Polonici Mathematici},
     volume = {101},
     year = {2011},
     pages = {209-214},
     zbl = {1231.32022},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-3-1}
}

Zbigniew Błocki; Armen Edigarian; Józef Siciak. On the product property for the transfinite diameter. Annales Polonici Mathematici, Tome 101 (2011) pp. 209-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-3-1/