A class of strictly pseudoconvex domains with non-pluripolar core

2021/08/12 by Zbigniew Słodkowski, Slodkowski, Zbigniew
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2108.05992

openalex publication_date 2021/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a class of strictly pseudoconvex domains in Cdwhose core has non-empty interior. Consequently these cores are not pluripolar. This answers a question posed by Harz, Shcherbina and Tomassini.

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