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Regularity of coboundaries for nonuniformly expanding Markov maps
Authors:  bastien Gouë  zel
Affiliation:Département de mathématiques et applications, École Normale Supérieure, 45 rue d'Ulm, 75005 Paris, France
Abstract:We prove that solutions $u$ of the equation $f=u-ucirc T$ are automatically Hölder continuous when $f$ is Hölder continuous and $T$ is nonuniformly expanding and Markov. This result applies in particular to Young towers and to intermittent maps.

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