Regularity of coboundaries for non uniformly expanding Markov maps

Sebastien Gouezel

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Regularity of coboundaries for non uniformly expanding Markov maps

Sebastien Gouezel

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Abstract

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

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BibTeX RIS

Sebastien Gouezel. 2005-02-22. Regularity of coboundaries for non uniformly expanding Markov maps. https://arxiv.org/abs/math/0502458

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