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ArticleOriginal scientific text

Title

Absolutely continuous dynamics and real coboundary cocycles in Lp-spaces, 0 < p < ∞

Authors 1, 2, 1

Affiliations

  1. Departamento de Matemática Aplicada a la Ingeniería, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Spain
  2. Institute of Computational Mathematics and Scientific, Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P.R. China

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

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Studia Mathematica
2000/138/2
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Pages:
121-134
Main language of publication
English
Received
1998-06-29
Accepted
1999-08-13
Published
2000
Exact and natural sciences