Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II
A. Bonami, D. Buraczewski, E. Damek, A. Hulanicki, R. Penney, B. Trojan
Abstract
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 H2 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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