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Regularity of coboundaries for nonuniformly expanding Markov maps

Author: Sébastien Gouëzel
Journal: Proc. Amer. Math. Soc. 134 (2006), 391-401
MSC (2000): Primary 37A20, 37D25
Published electronically: September 21, 2005
MathSciNet review: 2176007
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Abstract: We prove that solutions $u$ of the equation $f=u-u\circ T$ 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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Additional Information

Sébastien Gouëzel
Affiliation: Département de mathématiques et applications, École Normale Supérieure, 45 rue d’Ulm, 75005 Paris, France

Received by editor(s): July 16, 2004
Published electronically: September 21, 2005
Communicated by: Michael Handel
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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