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

Aline Bonami·Dariusz Buraczewski·Ewa Damek·Andrzej Hulanicki·Philippe Jaming
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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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Aline Bonami, Dariusz Buraczewski, Ewa Damek, Andrzej Hulanicki, Philippe Jaming. 2004-02-03. Maximum boundary regularity of bounded Hua-harmonic functions on tube domains. https://arxiv.org/abs/math/0402030

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