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Bounded pluriharmonic functions on symmetric irreducible Siegel domains

✍ Scribed by Dariusz Buraczewski; Ewa Damek; Andrzej Hulanicki

Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
251 KB
Volume
240
Category
Article
ISSN
0025-5874

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Hua System and Pluriharmonicity for Symm
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We consider here a generalization of the Hua system that was proved by Johnson and KorÑnyi to characterize Poisson-Szego ˝integrals for Siegel domains of tubetype. We show that the situation is completely different when dealing with nontube-type symmetric irreducible symmetric domains: then all func

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## Abstract New Besov spaces of M‐harmonic functions are introduced on a bounded symmetric domain in β„‚^__n__^. Various characterizations of these spaces are given in terms of the intrinsic metrics, the Laplace‐Beltrami operator and the action of the group of the domain.