Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 < p < ∞
Volume 138 / 2000
Studia Mathematica 138 (2000), 121-134
DOI: 10.4064/sm-138-2-121-134
Abstract
Conditions for the existence of measurable and integrable solutions of the cohomology equation on a measure space are deduced. They follow from the study of the ergodic structure corresponding to some families of bidimensional linear difference equations. Results valid for the non-measure-preserving case are also obtained
