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Über das Randverhalten der Bergmanschen Kernfunktion und Metrik für eine spezielle Klasse schwach pseudokonvexer Gebiete des \({\mathbb{C}}^ n\)

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Publication:795973
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DOI10.1007/BF01252857zbMath0543.32011MaRDI QIDQ795973

Gregor Herbort

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/173357


zbMATH Keywords

Bergman kernelBergman metricCarathéodory pseudometric


Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)


Related Items

On the invariant differential metrics near pseudoconvex boundary points where the Levi form has corank one ⋮ On the dimension of the Bergman space for some unbounded domains ⋮ Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type.



Cites Work

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  • Function theory on manifolds which possess a pole
  • A construction of peak functions on weakly pseudoconvex domains
  • Biholomorphic maps of weakly pseudoconvex domains
  • \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
  • On boundary behavior of the Bergman kernel function and related domain functionals
  • Geometry of Bounded Domains
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