Properties of bounded holomorphic functions: a survey

DOI10.1007/s12220-023-01460-1zbMath1528.32034OpenAlexW4388488348MaRDI QIDQ6067789

Peter Pflug, Marek Jarnicki

Publication date: 17 November 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-023-01460-1

zbMATH Keywords

Reinhardt domainsHartogs domainsbalanced domains\(\mathcal{H}^{\infty}\)-convexityextension of \(\mathcal{H}^{\infty}\)-functions

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Domains of holomorphy (32D05) Envelopes of holomorphy (32D10) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Cites Work

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• Isometries of Hsup(infinity)
• On the spectrum of A(Ω) and $H^∞(Ω)$
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• On Completeness With Respect to the Carathéodory Metric^*
• A bounded domain of holomorphy for which the volume of the h ^∞-envelope of holomorphy is infinite
• On Carathéodory completeness of pseudoconvex Reinhardt domains
• Comparison of Certain H ∞ -Domains of Holomorphy
• An Example of a Caratheodory Complete but not Finitely Compact Analytic Space
• Extension of holomorphic functions

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