Open Access
2007/2008 The Determination of a Harmonic Function by Its Sign
D. H. Armitage
Real Anal. Exchange 33(2): 275-278 (2007/2008).


We give an improvement of the result that if $hP\ge0$ on $\R^n$, where $h$ is a harmonic function and $P$ a non-trivial harmonic polynomial, then $h$ is proportional to $P$.


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D. H. Armitage. "The Determination of a Harmonic Function by Its Sign." Real Anal. Exchange 33 (2) 275 - 278, 2007/2008.


Published: 2007/2008
First available in Project Euclid: 18 December 2008

zbMATH: 1165.31001
MathSciNet: MR2458244

Primary: 31A05

Keywords: Harmonic function , Liouville theorem

Rights: Copyright © 2007 Michigan State University Press

Vol.33 • No. 2 • 2007/2008
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