Geodesic
Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 p ∞
Ana I. Alonso ;  ; 
Studia Mathematica, Tome 138 (2000) no. 2, pp. 121-134

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DOI

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 
Ana I. Alonso;  ;  . Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 < p < ∞. Studia Mathematica, Tome 138 (2000) no. 2, pp. 121-134. doi: 10.4064/sm-138-2-121-134
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