Tohoku Mathematical Journal

Functions monotone close to boundary

Olli Martio, Vladimir Miklyukov, and Matti Vuorinen

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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.

Article information

Source
Tohoku Math. J. (2) Volume 57, Number 4 (2005), 605-621.

Dates
First available in Project Euclid: 23 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1140727076

Digital Object Identifier
doi:10.2748/tmj/1140727076

Mathematical Reviews number (MathSciNet)
MR2203550

Zentralblatt MATH identifier
1099.31004

Subjects
Primary: 31C45: Other generalizations (nonlinear potential theory, etc.)
Secondary: 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords
Dirichlet integral monotone function oscillation estimate

Citation

Martio, Olli; Miklyukov, Vladimir; Vuorinen, Matti. Functions monotone close to boundary. Tohoku Math. J. (2) 57 (2005), no. 4, 605--621. doi:10.2748/tmj/1140727076. https://projecteuclid.org/euclid.tmj/1140727076.


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References

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Tohoku University, Mathematical Institute

Tohoku Mathematical Journal

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