Functions monotone close to boundary

: Martio O., Miklyukov V., Vuorinen M.

: 2005

: Tohoku Mathematical Journal

: 57

: 4

: 605

: 621

: 17

: 0040-8735

DOI: https://doi.org/10.2748/tmj/1140727076

: http://api.elsevier.com/content/abstract/scopus_id:31544452267

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.