Geometric and analytic boundary invariants on pseudoconvex domains. Comparison results

DOI10.1007/BF02921392zbMath0786.32016MaRDI QIDQ685948

Klas Diederich, Gregor Herbort

Publication date: 6 December 1993

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Bergman kernelfinite typeBergman metricpseudoconvex domains\(\overline\partial\)-Neumann problemmultitypelocal analytic invariantslocal geometric invariantspseudoconvex extendability

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights ⋮ Extension and restriction of holomorphic functions ⋮ Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel ⋮ Singular Kobayashi Metrics and Finite Type Conditions ⋮ Weights of holomorphic extension and restriction ⋮ Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in \(\mathbb{C}^2\) ⋮ Quantitative estimates for the Green function and an application to the Bergman metric ⋮ Estimation on invariant distances on pseudoconvex domains of finite type in dimension two ⋮ An explicit computation of the Bergman kernel function

Cites Work

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• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Regularity Properties of the ∂ b Equation on Weakly Pseudoconvex CR Manifolds of Dimension 3

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