Sur le noyau de Bergman des domaines de Reinhardt

DOI10.1007/BF01389131zbMath0489.32017OpenAlexW2018949501MaRDI QIDQ1166686

Gérard Cœuré, Daniel Buashu

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01389131

zbMATH Keywords

Ramadanov conjectureasymptotic expansion of Bergman kernel for Reinhardt domainsBergman kernel of bounded strictly pseudo-convex domainFefferman expansion

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

The log term in the Bergman and Szegő kernels in strictly pseudoconvex domains in \(\mathbb C^2\), Asymptotic expansion of the Bergman kernel for strictly pseudoconvex complete Reinhardt domains in \({\mathbb{C}}^ 2\), Version réelle de la conjecture de Ramadanov, Ramadanov conjecture and line bundles over compact Hermitian symmetric spaces, Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in \(\mathbb{C}^2\), Bounded strictly pseudoconvex domains in \(\mathbb{C}^2\) with obstruction flat boundary II, Some remarks on the Kähler geometry of the Taub-NUT metrics, The Bergman kernel on weakly pseudoconvex tube domains in \(\mathbb{C}^2\)

Cites Work

• Biholomorphic mappings and the \(\overline\partial\)-problem
• Pseudoconvex domains with real-analytic boundary
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• A note on the Bergman kernel
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