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A uniqueness theorem for harmonic functions on half-spaces
Published online by Cambridge University Press: 18 May 2009
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An arbitrary point of the Euclidean space Rn+1, where n > 1, is denoted by (X, y), where X ∈ Rn and y ∈ R, and we denote the Euclidean norm on Rn by ∥·∥. If h is harmonic on the half-space Ω = {(X, y): y > 0}, then we define extended real-valued functions m and M as follows:
and
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- Copyright © Glasgow Mathematical Journal Trust 1989
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