Title: A minimum principle for plurisubharmonic functions

Authors: Ahmed Zeriahi

Issue: Volume 56 (2007), Issue 6, 2671-2696

Abstract: The main goal of this work is to give new and precise generalizations to various classes of plurisubharmonic functions of the classical minimum modulus principle for holomorphic functions of one complex variable, in the spirit of the famous lemma of Cartan-Boutroux. As an application we obtain precise estimates on the size of "plurisubharmonic lemniscates" in terms of appropriate Hausdorff contents.