Maximum boundary regularity of bounded Hua-harmonic functions on tube domains
Bonami, Aline ; Buraczewski, Dariusz ; Damek, Ewa ; Hulanicki, Andrzej ; Jaming, Philippe
HAL, hal-00001110 / Harvested from HAL
Text on HAL
In this paper we prove that bounded Hua-harmonic functions on tube domains that satisfy some boundary regularity condition are necessarily pluriharmonic. In doing so, we show that a similar theorem is true on one-dimensional extensions of the Heisenberg group or equivalently on the Siegel upper half-plane.
Publié le : 2004-07-05
Classification:  Heisenberg group,  pluriharmonic functions,  Tube domains,  boundary regularity,  Hua-harmonic functions,  22E30;32M15;35J25;58J32,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA],  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00001110,
     author = {Bonami, Aline and Buraczewski, Dariusz and Damek, Ewa and Hulanicki, Andrzej and Jaming, Philippe},
     title = {Maximum boundary regularity of bounded Hua-harmonic functions on tube domains},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00001110}
}

Bonami, Aline; Buraczewski, Dariusz; Damek, Ewa; Hulanicki, Andrzej; Jaming, Philippe. Maximum boundary regularity of bounded Hua-harmonic functions on tube domains. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001110/