Title of article
Hua System and Pluriharmonicity for Symmetric Irreducible Siegel Domains of Type II
Author/Authors
Bonami، نويسنده , , Aline and Buraczewski، نويسنده , , Dariusz and Damek، نويسنده , , Ewa and Hulanicki، نويسنده , , Andrzej and Penney، نويسنده , , Richard and Trojan، نويسنده , , Bartosz، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
37
From page
38
To page
74
Abstract
We consider here a generalization of the Hua system that was proved by Johnson and Korányi to characterize Poisson–Szegő integrals for Siegel domains of tube-type. We show that the situation is completely different when dealing with non-tube-type symmetric irreducible symmetric domains: then all functions that are annihilated by this second-order system and satisfy an H2-type integrability condition are pluriharmonic functions.
Journal title
Journal of Functional Analysis
Serial Year
2002
Journal title
Journal of Functional Analysis
Record number
1550706
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