Estimates on the Bergman kernels in a tangential direction on pseudoconvex domains in \(\mathbb{C}^3\)
type: Item
instance of: scholarly article
title: Estimates on the Bergman kernels in a tangential direction on pseudoconvex domains in \(\mathbb{C}^3\)
zbMATH Open document ID: 1470.32010
DOI: 10.1155/2018/5360857
published in: Abstract and Applied Analysis
publication date: 2019-02-25T00:00:00Z
review text: Summary: Let \(\Omega\) be a smoothly bounded pseudoconvex domain in \(\mathbb{C}^3\) and assume that \(T_{\Omega}^{r e g}(z_0) < \infty\) where \(z_0 \in b \Omega\), the boundary of \(\Omega\). Then we get optimal estimates of the Bergman kernel function along some ``almost tangential curve'' \(C_b(z_0, \delta_0) \subset \Omega \cup \left\{z_0\right\}\).
Mathematics Subject Classification ID: 32A26
zbMATH DE Number: 7029290
author: Sanghyun Cho
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5360857
OpenAlex ID: W2884642426
cites work: Q5610508
cites work: Estimates of invariant metrics on pseudoconvex domains of dimension two
cites work: Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
cites work: Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
cites work: Q3973872
cites work: Estimates on the Bergman kernels of convex domains
cites work: The Bergman kernel on uniformly extendable pseudoconvex domains
cites work: Boundary Behavior of the Bergman Kernel Function on some Pseudoconvex Domains in ℂ n
cites work: Estimates of the Bergman kernel function on certain pseudoconvex domains in \(\mathbb{C}^ n\)
cites work: Estimates for the Bergman and Szegő projections for pseudoconvex domains of finite type with locally diagonalizable Levi form
cites work: Estimates for weighted Bergman projections on pseudo-convex domains of finite type in ℂn
cites work: On estimates for weighted Bergman projections
cites work: Real hypersurfaces, orders of contact, and applications
cites work: Logarithmic growth of the Bergman kernel for weakly pseudoconvex domains in \({\mathbb C}^ 3\) of finite type
cites work: Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
description: scientific article; zbMATH DE number 7029290