Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
type: Item
instance of: scholarly article
title: Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
zbMATH Open document ID: 0675.32020
DOI: 10.1215/S0012-7094-89-05822-5
published in: Duke Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: Sei \(\Omega\) ein beschränktes, glatt berandetes und pseudokonvexes Gebiet im \({\mathbb{C}}^ 2\), und sei \(z^ 0\in \partial \Omega\) ein Randpunkt von endlichem Typ. In vorliegender Arbeit werden präzise Abschätzungen der Bergman'schen Kernfunktion \(K_{\Omega}(, )\) und deren Ableitungen auf \(\Omega\) \(\times \Omega\) nahe \((z^ 0,z^ 0)\) gegeben.
Mathematics Subject Classification ID: 32A25
zbMATH DE Number: 4105348
zbMATH Keywords: Bergman kernel function
zbMATH Keywords: boundary behaviour
author: J. D. McNeal
reviewed by: Peter Pflug
MaRDI profile type: Publication
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full work available at URL: s0012-7094-89-05822-5
OpenAlex ID: W2060500595
description: scientific article; zbMATH DE number 4105348