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arxiv: math/0402030 · v1 · submitted 2004-02-03 · 🧮 math.CA · math.CV

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

classification 🧮 math.CA math.CV
keywords boundaryboundeddomainsfunctionshua-harmonicregularitytubecondition
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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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