A. Ber

collaborators

2 papers

math.DS2021

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 $f = g \circ T - g$ …

math.DS2019

Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0, 1]$

Aleksei F. Ber, Matthijs J. Borst, Fedor A. Sukochev

In [7], Kwapień announced that every mean zero function $f \in L_{\infty} [0, 1]$ can be written as a coboundary $f = g \circ T - g$ for some $g \in L_{\infty} [0, 1]$ and some measure preserv…

A multidimensional solution to additive homological equations

Full proof of Kwapień's theorem on representing bounded mean zero functions on [0,1]

Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0, 1]$