On the bergman kernel of hyperconvex domains

DOI10.1017/S0027763000004311zbMath0774.32016MaRDI QIDQ4039422

Takeo Ohsawa

Publication date: 13 June 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Bergman kernelpseudoconvex domainhyperconvex domain

Mathematics Subject Classification ID

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

Related Items

Bergman kernel and hyperconvexity index ⋮ A Survey on Bergman Completeness ⋮ An example concerning Bergman completeness ⋮ Log-hyperconvexity index and Bergman kernel ⋮ A NOTE ON BERGMAN COMPLETENESS ⋮ On the \(p\)-Bergman theory ⋮ Capacities, Green function, and Bergman functions ⋮ Algebraic Bergman kernels and finite type domains in \mathbb{C}^2 ⋮ Miscellanea on PSH functions and \(L^2\) methods on pseudoconvex domains ⋮ Stein spaces with plurisubharmonic bounded exhaustion functions ⋮ Pseudonorms on direct images of pluricanonical bundles ⋮ Bergman kernel and metric on non-smooth pseudoconvex domains ⋮ On the extension of L² holomorphic functions V-Effects of generalization ⋮ Extremal length functions are log-plurisubharmonic ⋮ A survey on the \(L^2\) extension theorems ⋮ Bergman completeness is not a quasi-conformal invariant ⋮ THE BERGMAN METRIC ON TEICHMÜLLER SPACE ⋮ Cauchy–Riemann meet Monge–Ampère ⋮ Addendum to “On the Bergman kernel of hyperconvex domains”, Nagoya Math. J. 129 (1993), 43–52 ⋮ Bergman completeness of unbounded hartogs Domains ⋮ Some applications of the Ohsawa-Takegoshi extension theorem ⋮ Hyperconvexity and Bergman completeness ⋮ A solution of an \(L^{2}\) extension problem with an optimal estimate and applications

Cites Work

• Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces
• Vanishing theorems on complete Kähler manifolds
• Boundary behavior of the Bergman kernel function on pseudoconvex domains
• The Bergman kernel on uniformly extendable pseudoconvex domains
• Hodge spectral sequence on pseudoconvex domains
• On the extension of L 2 holomorphic functions. II
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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