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July, 2002 Two criterions of Wiener type for minimally thin sets and rarefied sets in a cone
Ikuko MIYAMOTO, Hidenobu YOSHIDA
J. Math. Soc. Japan 54(3): 487-512 (July, 2002). DOI: 10.2969/jmsj/1191593906

Abstract

We shall give two criterions of Wiener type which characterize minimally thin sets and rarefied sets in a cone. We shall also show that a positive superharmonic function on a cone behaves regularly outside a rarefied set in a cone. These facts are known for a half space which is a special cone.

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Ikuko MIYAMOTO. Hidenobu YOSHIDA. "Two criterions of Wiener type for minimally thin sets and rarefied sets in a cone." J. Math. Soc. Japan 54 (3) 487 - 512, July, 2002. https://doi.org/10.2969/jmsj/1191593906

Information

Published: July, 2002
First available in Project Euclid: 5 October 2007

zbMATH: 1026.31006
MathSciNet: MR1900954
Digital Object Identifier: 10.2969/jmsj/1191593906

Subjects:
Primary: 31B05

Rights: Copyright © 2002 Mathematical Society of Japan

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