Lower bounds on the Bergman metric near a point of finite type
type: Item
instance of: scholarly article
title: Lower bounds on the Bergman metric near a point of finite type
zbMATH Open document ID: 0764.32006
DOI: 10.2307/2946608
published in: Annals of Mathematics. Second Series
publication date: 1993-01-17T00:00:00Z
review text: This paper determines lower bounds on the rate of blow-up of the Bergman metric on a smoothly bounded domain \(\Omega\) near a finite type boundary point \(p\). The rate of blow-up is directly connected to the order of smoothing of the \(\overline\partial\)-Neumann problem near \(p\); this in turn (according to work of Catlin) is related to the D'Angelo type of \(p\). The paper contains interesting results concerning localization of the metric.
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32H99
Mathematics Subject Classification ID: 32A10
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 32A35
zbMATH DE Number: 98476
zbMATH Keywords: subelliptic estimate
zbMATH Keywords: Bergman metric
zbMATH Keywords: finite type
author: J. D. McNeal
reviewed by: Steven G. Krantz
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2307/2946608
OpenAlex ID: W2322114399
description: scientific article; zbMATH DE number 98476