Tohoku Mathematical Journal
2005

December
SECOND SERIES VOL. 57, NO. 4

Tohoku Math. J.
57 (2005), 605-621

Title FUNCTIONS MONOTONE CLOSE TO BOUNDARY

Author Olli Martio, Vladimir Miklyukov and Matti Vuorinen

(Received December 15, 2003, revised December 9, 2004)
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.

2000 Mathematics Subject Classification. Primary 31C45; Secondary 46E30.

Key words and phrases. Dirichlet integral, monotone function, oscillation estimate.

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