Open Access
December 2005 Functions monotone close to boundary
Olli Martio, Vladimir Miklyukov, Matti Vuorinen
Tohoku Math. J. (2) 57(4): 605-621 (December 2005). DOI: 10.2748/tmj/1140727076

Abstract

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.

Citation

Download Citation

Olli Martio. Vladimir Miklyukov. Matti Vuorinen. "Functions monotone close to boundary." Tohoku Math. J. (2) 57 (4) 605 - 621, December 2005. https://doi.org/10.2748/tmj/1140727076

Information

Published: December 2005
First available in Project Euclid: 23 February 2006

zbMATH: 1099.31004
MathSciNet: MR2203550
Digital Object Identifier: 10.2748/tmj/1140727076

Subjects:
Primary: 31C45
Secondary: 46E30

Keywords: Dirichlet integral , monotone function , oscillation estimate

Rights: Copyright © 2005 Tohoku University

Vol.57 • No. 4 • December 2005
Back to Top