A Forelli-Rudin construction and asymptotics of weighted Bergman kernels
type: Item
instance of: scholarly article
title: A Forelli-Rudin construction and asymptotics of weighted Bergman kernels
zbMATH Open document ID: 0969.32003
author: Miroslav Engliš
published in: Journal of Functional Analysis
publication date: 2001-09-30T00:00:00Z
review text: Let \(\Omega\subset\mathbb C^N\) be pseudoconvex with smooth boundary and let \(-\phi\), \(-\psi\) be smooth defining functions for \(\Omega\) with \(\log\phi\), \(\log\psi\) being plurisubharmonic in \(\Omega\). Let \(M\geq 0\). The author investigates the asymptotic behavior of the weighted Bergman kernel \(K_{\phi^k\psi^M}\) as \(k\rightarrow\infty\).
reviewed by: Marek Jarnicki
Mathematics Subject Classification ID: 32A25
zbMATH DE Number: 1556909
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: weighted Bergman kernel
MaRDI profile type: Publication
full work available at URL: jfan.2000.3642
OpenAlex ID: W2003553579
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DOI: 10.1006/JFAN.2000.3642
description: scientific article; zbMATH DE number 1556909