Hokkaido Mathematical Journal

MIYAMOTO Ikuko,

Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder.

Hokkaido Mathematical Journal, 36 (2007) pp.507-534

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Abstract

We shall give two criteria of Wiener type which characterize minimally thin sets and rarefied sets in a cylinder. We shall also show that a positive superharmonic function on a cylinder behaves regularly outside a rarefied set in a cylinder.

MSC(Primary)31B05
MSC(Secondary)31B20
Uncontrolled Keywordssuperharmonic function, minimally thin set, rarefied set, cylinder