A minimum principle for plurisubharmonic functions

Details A minimum principle for plurisubharmonic functions A minimum principle for plurisubharmonic functions

2007-01-03

arxiv.org/abs/math/0701098v1

Mathematics

Complex Variables

Scientific paper

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.

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