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ISSN 1088-6826(e) ISSN 0002-9939(p)

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
Posted: September 21, 2005
MathSciNet review: 2176007
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that solutions of the equation $f=u-u\circ T$ are automatically Hölder continuous when is Hölder continuous and is nonuniformly expanding and Markov. This result applies in particular to Young towers and to intermittent maps.

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