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Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II
Bonami, Aline ; Buraczewski, Dariusz ; Damek, Ewa ; Hulanicki, Andrzej ; Penney, Richard ; Trojan, Bartosz
HAL, hal-00087775 / Harvested from HAL
Text on HAL
We consider here a generalization of the Hua system that was proved by Johnson and Korányi to characterize Poisson–SzegImage 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.
Publié le : 2002-07-05
Classification:  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA],  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00087775,
     author = {Bonami, Aline and Buraczewski, Dariusz and Damek, Ewa and Hulanicki, Andrzej and Penney, Richard and Trojan, Bartosz},
     title = {Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00087775}
}

Bonami, Aline; Buraczewski, Dariusz; Damek, Ewa; Hulanicki, Andrzej; Penney, Richard; Trojan, Bartosz. Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00087775/