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.
@article{1277472865,
author = {MIYAMOTO, Ikuko},
title = {Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder},
journal = {Hokkaido Math. J.},
volume = {36},
number = {4},
year = {2007},
pages = { 507-534},
language = {en},
url = {http://dml.mathdoc.fr/item/1277472865}
}
MIYAMOTO, Ikuko. Two criteria of Wiener type for minimally thin sets and rarefied sets in a cylinder. Hokkaido Math. J., Tome 36 (2007) no. 4, pp. 507-534. http://gdmltest.u-ga.fr/item/1277472865/