II型对称不可约Siegel域的Hua系统与多重调和性
Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II
摘要：
本文考虑第二型对称Siegel域上的Johnson-Koranyi-Hua系统。我们证明了所有被系统零化并满足H^2可积条件的函数都是多调和函数。因此，第二型域上的情形与管型域上的情形完全不同：Johnson和Koranyi证明了对称管型域上的系统刻画了Poisson-Szego积分。
英文摘要：
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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