On the product property for the transfinite diameter

Zbigniew Błocki; Armen Edigarian; Józef Siciak

Annales Polonici Mathematici (2011)

  • Volume: 101, Issue: 3, page 209-214
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Zbigniew Błocki, Armen Edigarian, and Józef Siciak. "On the product property for the transfinite diameter." Annales Polonici Mathematici 101.3 (2011): 209-214. <http://eudml.org/doc/281085>.

@article{ZbigniewBłocki2011,
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.},
author = {Zbigniew Błocki, Armen Edigarian, Józef Siciak},
journal = {Annales Polonici Mathematici},
keywords = {transfinite diameter; complex Monge-Ampère operator},
language = {eng},
number = {3},
pages = {209-214},
title = {On the product property for the transfinite diameter},
url = {http://eudml.org/doc/281085},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Zbigniew Błocki
AU - Armen Edigarian
AU - Józef Siciak
TI - On the product property for the transfinite diameter
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 3
SP - 209
EP - 214
AB - 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.
LA - eng
KW - transfinite diameter; complex Monge-Ampère operator
UR - http://eudml.org/doc/281085
ER -

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