Domains of holomorphy with edges and lower dimensional boundary singularities

2000/01/24 by Dmitri Zaitsev, Zaitsev, Dmitri, Giuseppe Zampieri +1 · 1 citation
Mathematics · #32D05 #32D20 #32E05 #32F05 #32F15 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:32D05 #msc:32D20 #msc:32E05 #msc:32F05 #msc:32F15

paper · pdf · doi:10.48550/arxiv.math/0001133

12 pages

arxiv created 2000/01/24 · openalex publication_date 2000/01/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Necessary and sufficient geometric conditions are given for domains with regular boundary points and edges to be domains of holomorphy provided the remainder boundary subset is of zero Hausdorff 1-codimensional measure.

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