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

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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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Complex Variables, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/59884

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0009068
 http://arxiv.org/abs/math/0009068

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arXiv