A multidimensional solution to additive homological equations

Aleksei F. Ber, Matthijs J. Borst, Sander J. Borst +1

In this paper we prove that for a finite-dimensional real normed space $V$, every bounded mean zero function $f\in L_{\infty }([0,1];V)$ can be written in the form $f=g\circ T-g$…