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.
J. Math. Soc. Japan
54(3):
487-512
(July, 2002).
DOI: 10.2969/jmsj/1191593906