Regularity of coboundaries for non uniformly expanding Markov maps

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74275We 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.Dynamical Systems37A20; 37D25Regularity of coboundaries for non uniformly expanding Markov mapstext