Smooth Livsic regularity for piecewise expanding maps

Matthew Nicol, Tomas Persson

We consider the regularity of measurable solutions $\chi$ to the cohomological equation \[ ϕ= χ\circ T -χ, \] where $(T,X,\mu )$ is a dynamical system and $\varphi :X\to \mathbb{R}$ is a…