On the product property for the transfinite diameter
Volume 101 / 2011
Annales Polonici Mathematici 101 (2011), 209-214
MSC: 32U15, 32W20.
DOI: 10.4064/ap101-3-1
Abstract
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.