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

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

2004-02-03

arxiv.org/abs/math/0402030v1

Journal of Geometric Analysis 14 (2004) 457-486

Mathematics

Classical Analysis and ODEs

Scientific paper

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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