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A type of uniqueness
for the Dirichlet problem on a half-space with continuous
data
Hidenobu Yoshida |
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Vol. 172 (1996), No. 2, 591–609
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Abstract |
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In this paper, we shall prove a property of the harmonic function H defined on a half-space T which is represented by the generalized Poisson integral with a slowly growing continuous function f on the boundary ∂T of T. Then we shall investigate the difference between H and more general harmonic functions having the same boundary value f on ∂T. These give a kind of positive answer to a question asked by Siegel. |
Mathematical Subject Classification 2000
Primary: 31B20
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Milestones
Received: 10 August 1993
Revised: 3 February 1994
Published: 1 February 1996
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Authors |
| Hidenobu Yoshida | |
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