Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II

Details Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II

2000-09-07

arxiv.org/abs/math/0009068v1

Mathematics

Complex Variables

Scientific paper

We consider the Johnson-Koranyi-Hua system on symmetric Siegel domains of type two. We prove that all functions which are annihilated by the system and satisfy an H^2 integrability condition are pluriharmonic. So the situation is completely different on type two domains than on tube type domains: it was proved by Johnson and Koranyi that on symmetric tube type domains the system characterizes Poisson-Szego integrals.

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