Domains with finite dimensional Bergman space

DOI10.1007/BF01174190zbMath0534.32001OpenAlexW2026246472MaRDI QIDQ790300

Jan J. O. O. Wiegerinck

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173512

zbMATH Keywords

Reinhardt domainsdimension of the Bergman spacesquare integrable holomorphic functions

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Spaces of bounded analytic functions of one complex variable (30H05) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items

Bergman Kernel in Complex Analysis ⋮ On a theorem of Wiegerinck ⋮ Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids ⋮ The closed range property for the \(\overline{\partial}\)-operator on planar domains ⋮ \(L_h^2\)-functions in unbounded balanced domains ⋮ On the dimension of Bergman spaces on \(\mathbb{P}^1\) ⋮ Narasimhan–Simha-type metrics on strongly pseudoconvex domains in ℂn ⋮ The dual of a Bergman space on simply connected domains. ⋮ One dimensional estimates for the Bergman kernel and logarithmic capacity ⋮ Analysis on the intersection of pseudoconvex domains ⋮ Generalizations of the higher dimensional Suita conjecture and its relation with a problem of Wiegerinck ⋮ Cauchy–Riemann meet Monge–Ampère ⋮ On the dimension of the Bergman space for some unbounded domains ⋮ The Ohsawa-Takegoshi Extension Theorem on Some Unbounded Sets ⋮ Berezin transforms on pluriharmonic Bergman spaces ⋮ On the dimension of the Bergman space of some Hartogs domains with higher dimensional bases ⋮ Notes on the short \(\mathbb{C}^k\)'s

Cites Work

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