Abstract
Local oscillation of a function satisfying a Hölder condition is considered, and it is proved that its growth is governed by a version of the Law of the Iterated Logarithm.
Citation
J. G. Llorente. A. Nicolau. "Oscillation of Hölder Continuous Functions." Real Anal. Exchange 39 (2) 305 - 322, 2013/2014.
Information
Published: 2013/2014
First available in Project Euclid: 30 June 2015
zbMATH: 1320.26004
MathSciNet: MR3365376
Subjects:
Primary:
26A24
,
60G42
Secondary:
60G46
Keywords:
Hölder class
,
Martingales
,
oscillation
Rights: Copyright © 2014 Michigan State University Press