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arXiv · 1407.1776

H\"older regularity of the solutions of the cohomological equation for Roth type interval exchange maps

Stefano Marmi·Jean-Christophe Yoccoz
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Abstract

We prove that the solutions of the cohomological equation for Roth type interval exchange maps are H\"older continuous provided that the datum is of class $C^r$ with $r>1$ and belongs to a finite-codimension linear subspace.

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Stefano Marmi, Jean-Christophe Yoccoz. 2014-07-07. H\"older regularity of the solutions of the cohomological equation for Roth type interval exchange maps. https://arxiv.org/abs/1407.1776

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