A minimum principle for plurisubharmonic functions

• Autores: Ahmed Zeriahi
• Localización: Indiana university mathematics journal, ISSN 0022-2518, Vol. 56, Nº 6, 2007, págs. 2671-2696
• Idioma: inglés
• DOI: 10.1512/iumj.2007.56.3209
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• Resumen

  • 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.