Functions monotone close to boundary



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

: 2005

 Tohoku Mathematical Journal

: 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.


Dirichlet integral, Monotone function, Oscillation estimate



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