Functions which are monotone close to boundary are defined. Some oscillation estimates are given for these functions in Orlicz classes. Criteria for monotonicity close to boundary are obtained.
@article{1140727076,
author = {Martio, Olli and Miklyukov, Vladimir and Vuorinen, Matti},
title = {Functions monotone close to boundary},
journal = {Tohoku Math. J. (2)},
volume = {57},
number = {1},
year = {2005},
pages = { 605-621},
language = {en},
url = {http://dml.mathdoc.fr/item/1140727076}
}
Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti. Functions monotone close to boundary. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp. 605-621. http://gdmltest.u-ga.fr/item/1140727076/