2007/01/03 by Ahmed Zériahi, Zeriahi, Ahmed
Mathematics · #31C10 #31C15 #32F05 #32F99 #32U05 #32U99 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.math/0701098
openalex publication_date 2007/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.