Pluriharmonic \(H^2\) functions on symmetric irreducible Siegel domains

DOI10.1007/PL00001648zbMath0969.31007OpenAlexW1990143507MaRDI QIDQ1596303

Marco M. Peloso, Ewa Damek, Andrzej Hulanicki, Detlef Müller

Publication date: 13 May 2001

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001648

zbMATH Keywords

pluriharmonic functionLaplace-Beltrami operatorsymmetric Siegel domain

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

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Maximum boundary regularity of bounded Hua-harmonic functions on tube domains, Differential systems of type \((1,1)\) on Hermitian symmetric spaces and their solutions., Hua system on irreducible Hermitian symmetric spaces of nontube type., The Schwarz problem in a Siegel domain, Holomorphic function spaces on homogeneous Siegel domains, Radon transforms on Siegel-type nilpotent Lie groups, Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II