Article Dans Une Revue The Journal of Geometric Analysis Année : 2004

Maximum boundary regularity of bounded Hua-harmonic functions on tube domains

Résumé

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.

Fichier principal
Vignette du fichier
hypersoumis.pdf (344.05 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00001110 , version 1 (03-02-2004)

Licence

Identifiants

Citer

Aline Bonami, Dariusz Buraczewski, Ewa Damek, Andrzej Hulanicki, Philippe Jaming. Maximum boundary regularity of bounded Hua-harmonic functions on tube domains. The Journal of Geometric Analysis, 2004, 14, pp.457-486. ⟨hal-00001110⟩
310 Consultations
374 Téléchargements

Altmetric

Partager

  • More