Open Access
August 2007 Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder
Ikuko MIYAMOTO
Hokkaido Math. J. 36(3): 507-534 (August 2007). DOI: 10.14492/hokmj/1277472865

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.

Citation

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Ikuko MIYAMOTO. "Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder." Hokkaido Math. J. 36 (3) 507 - 534, August 2007. https://doi.org/10.14492/hokmj/1277472865

Information

Published: August 2007
First available in Project Euclid: 25 June 2010

zbMATH: 1142.31002
MathSciNet: MR2353638
Digital Object Identifier: 10.14492/hokmj/1277472865

Subjects:
Primary: 31B05
Secondary: 31B20

Keywords: cylinder , minimally thin set , rarefied set , superharmonic function

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

Vol.36 • No. 3 • August 2007
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