J Austral Math Soc Ser A 59 pp20--27, 1995.

The Parabolicity of Berlot's Harmonic Spaces

Hideo Imai

(Received 5 August 1992)

Abstract

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

1991 AMS Subject Classification: primary 31D05; secondary 30F15

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Authors

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

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Last Modified: Thu Jan 9 9:04:24 2003