On Bergman type spaces of holomorphic functions and the density, in these spaces, of certain classes of singular functions

DOI10.1080/17476933.2017.1409739zbMath1394.32005arXiv1703.00423OpenAlexW2594921912MaRDI QIDQ5745147

K. Kioulafa, Vassilis Nestoridis, Telemachos E. Hatziafratis

Publication date: 5 June 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00423

zbMATH Keywords

Bergman spacesboundary behavior of holomorphic functions

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Boundary behavior of holomorphic functions of several complex variables (32A40)

Related Items (6)

Generic non-extendability and total unboundedness in function spaces ⋮ Generic versions of a result in the theory of Hardy spaces ⋮ Jordan domains with a rectifiable arc in their boundary ⋮ On the boundary behaviour of derivatives of functions in the disc algebra ⋮ On Hardy type spaces in strictly pseudoconvex domains and the density, in these spaces, of certain classes of singular functions ⋮ From universality to generic non-extendability and total unboundedness in spaces of holomorphic functions

Cites Work

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• Normed domains of holomorphy
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• Boundedness of derivatives and anti-derivatives of holomorphic functions as a rare phenomenon
• One-sided extendability and \(p\)-continuous analytic capacities
• Lectures on Several Complex Variables
• Existence Domains of Holomorphic Functions of Restricted Growth
• Spaces of Holomorphic Functions in the Unit Ball
• Non extendable holomorphic functions

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