2000/09/07 by Aline Bonami, A. Bonami, D. Buraczewski +15
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG
paper · pdf · doi:10.48550/arxiv.math/0009068
arxiv created 2000/09/07 · openalex publication_date 2000/09/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.