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VOL. 44 | 2006 On the behavior at infinity for non-negative superharmonic functions in a cone
Minoru Yanagishita

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

## Abstract

This paper shows that a positive superharmonic function on a cone behaves regularly outside an $\alpha$-minimally thin set in a cone. This fact is known for a half space which is a special cone.

## Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1116.31002
MathSciNet: MR2279772

Digital Object Identifier: 10.2969/aspm/04410403

Subjects:
Primary: 31B05
Secondary: 31B20

Keywords: $\alpha$-minimally thin sets , cone , superharmonic functions