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.
"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