2012/11/26 by Filippo Bracci, Bracci, Filippo, John Erik Fornæss +2
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV
paper · pdf · doi:10.48550/arxiv.1211.6064
arxiv created 2012/11/26 · openalex publication_date 2012/11/26 · arxiv updated 2012/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a boundary version of the open mapping theorem for holomorphic maps between strongly pseudoconvex domains. That is, we prove that the local image of a holomorphic map f:D→ D' close to a boundary regular contact point p∈ \de D where the Jacobian is bounded from zero along normal non-tangential directions has to eventually contain every cone (and more generally every admissible region) with vertex at f(p).