Boundary behavior of the Bergman kernel function on pseudoconvex domains with comparable Levi form.

DOI10.1016/S0022-247X(03)00160-4zbMath1073.32001OpenAlexW2024715369MaRDI QIDQ1405293

Sang-Hyun Cho

Publication date: 25 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00160-4

zbMATH Keywords

Bergman kernel functioneigenvalues of the Levi formfinite type boundary

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27)

Related Items

Sub-Hermitian geometry and the quantitative Newlander-Nirenberg theorem ⋮ Extension of CR structures on pseudoconvex CR-manifolds with comparable eigenvalues of the Levi-form ⋮ Comparing the Bergman and Szegö projections on domains with subelliptic boundary Laplacian ⋮ Estimates for weighted Bergman projections on pseudo-convex domains of finite type in ℂⁿ ⋮ Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel ⋮ Estimates on the Bergman kernels on pseudoconvex domains with comparable Levi-forms ⋮ Unnamed Item ⋮ Extremal bases, geometrically separated domains and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Real hypersurfaces, orders of contact, and applications
• Estimates on the Bergman kernels of convex domains
• Hölder estimates on CR manifolds with a diagonalizable Levi form
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Estimates of the Bergman kernel function on certain pseudoconvex domains in \(\mathbb{C}^ n\)
• Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten
• Über die 1. und 2. Ableitung der Bergmanschen Kernfunktion und ihr Randverhalten
• On maximal Sobolev and Holder estimates for the tangential Cauchy-Riemann operator and boundary Laplacian
• Boundary Behavior of the Bergman Kernel Function on some Pseudoconvex Domains in ℂ n
• The growth of the bergman kernel on pseudoconvex domains of homogeneous finite diagonal type