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

Abstract : 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.
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Submitted on : Tuesday, February 3, 2004 - 11:01:10 AM
Last modification on : Monday, May 6, 2019 - 10:28:07 AM
Long-term archiving on: Monday, March 29, 2010 - 5:23:21 PM

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

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