ON DISCONTINUITY OF THE BERGMAN KERNEL FUNCTION

DOI10.1142/S0129167X99000355zbMath1066.32500MaRDI QIDQ2728477

Klas Diederich, Gregor Herbort

Publication date: 1 August 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Finite-type domains (32T25) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

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• Differentiability of the Bergman kernel and pseudo-local estimates
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• Quadratintegrable holomorphe Funktionen und die Serre-Vermutung
• Mapping properties of the Bergman projection on convex domains of finite type
• Estimates on the Bergman kernels of convex domains
• The Bergman kernel of the minimal ball and applications
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• The Bergman kernel function: Explicit formulas and zeroes
• A Construction of Peak Functions on Some Finite Type Domains
• Estimate of the Einstein-Kähler metric on a weakly pseudoconvex domain in \(\mathbb{C}^ 2\)

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