Regularity of coboundaries for nonuniformly expanding Markov maps

Gouëzel, Sébastien

doi:10.1090/S0002-9939-05-08145-1

Regularity of coboundaries for nonuniformly expanding Markov maps
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Proc. Amer. Math. Soc. 134 (2006), 391-401 Request permission

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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