Bounded pluriharmonic functions on symmetric irreducible Siegel domains
type: Item
instance of: scholarly article
title: Bounded pluriharmonic functions on symmetric irreducible Siegel domains
zbMATH Open document ID: 1008.32013
author: Dariusz Buraczewski
author: Ewa Damek
author: Andrzej Hulanicki
published in: Mathematische Zeitschrift
publication date: 2002-09-17T00:00:00Z
review text: Let \(\mathcal D\) be an irreducible symmetric Siegel domain and let \(S\) be a solvable group which acts transitively on \(\mathcal D\). The authors define three \(S\)-invariant second order degenerate elliptic operators \textbf{L}, \(\mathcal L\), \textbf{H} such that a bounded function \(F\) on \(\mathcal D\) is pluriharmonic iff \textbf{L}\(F=\mathcal LF= \)\textbf{H}\(F=0\). The results extend a former paper by \textit{E. Damek, A. Hulanicki, D. Müller} and \textit{M. Peloso} [Geom. Funct. Anal. 10, No. 5, 1090-1117 (2000; Zbl 0969.31007)].
reviewed by: Marek Jarnicki
Mathematics Subject Classification ID: 32M15
zbMATH DE Number: 1801583
zbMATH Keywords: irreducible symmetric Siegel domain
MaRDI profile type: Publication
full work available at URL: s002090100367
OpenAlex ID: W1966239297
DOI: 10.1007/S002090100367
description: scientific article; zbMATH DE number 1801583