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
Rights: Copyright © 2006 Mathematical Society of Japan