Estimates of the Bergman kernel function on certain pseudoconvex domains in \(\mathbb{C}^ n\)

DOI10.1007/PL00004537zbMath0864.32016OpenAlexW4245802814MaRDI QIDQ2365056

Sang-Hyun Cho

Publication date: 24 June 1997

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

Full work available at URL: https://eudml.org/doc/174887

zbMATH Keywords

plurisubharmonic functionsBergman kernel functionfinite 1-type

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items

Bergman-Toeplitz operators on weakly pseudoconvex domains ⋮ A mapping property of the Bergman projection on certain pseudoconvex domains ⋮ Boundary behavior of the Bergman kernel function on pseudoconvex domains with comparable Levi form. ⋮ A note on L2-boundary integrals of the Bergman kernel ⋮ Estimates on the Bergman kernels in a tangential direction on pseudoconvex domains in \(\mathbb{C}^3\) ⋮ Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel ⋮ Bergman-Toeplitz operators between weighted \(L^p\)-spaces on weakly pseudoconvex domains ⋮ Estimates on the Bergman kernels on pseudoconvex domains with comparable Levi-forms ⋮ Extremal bases, geometrically separated domains and applications

Cites Work

• The Bergman kernel on uniformly extendable pseudoconvex domains
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• Real hypersurfaces, orders of contact, and applications
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Boundary Behavior of the Bergman Kernel Function on some Pseudoconvex Domains in ℂ n
• On the invariant differential metrics near pseudoconvex boundary points where the Levi form has corank one
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