Tohoku Mathematical Journal

Functions monotone close to boundary

Olli Martio, Vladimir Miklyukov, and Matti Vuorinen

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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

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

First available in Project Euclid: 23 February 2006

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Zentralblatt MATH identifier

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.)

Dirichlet integral monotone function oscillation estimate


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.

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