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The parabolicity of Brelot's harmonic spaces

Part of: Riemann surfaces Axiomatic potential theory

Published online by Cambridge University Press:  09 April 2009

Hideo Imai
Hideo Imai
Affiliation:
Department of Mathematics, Daido Institute of Technology, Takiharu, Minami, Nagoya 457, Japan
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Abstract

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The parabolicity of Brelot's harmonic spaces is characterized by the fact that every positive harmonic function is of minimal growth at the ideal boundary.

MSC classification

Secondary: 31D05: Axiomatic potential theory 30F15: Harmonic functions on Riemann surfaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 1 , August 1995 , pp. 20 - 27
Copyright
Copyright © Australian Mathematical Society 1995

References

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