Maximum boundary regularity of bounded Hua-harmonic functions on tube domains
Classical Analysis and ODEs
2007-05-23 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.math/0402030,
title = {Maximum boundary regularity of bounded Hua-harmonic functions on tube domains},
author = {Aline Bonami and Dariusz Buraczewski and Ewa Damek and Andrzej Hulanicki and Philippe Jaming},
journal= {arXiv preprint arXiv:math/0402030},
year = {2007}
}