Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 < p < ∞

• Autorzy: Ana I. Alonso , Jialin Hong , Rafael Obaya
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 138
• Numer: 2
• Strony: 121-134

Daty

wydano

2000

otrzymano

1998-06-29

poprawiono

1999-08-13

Twórcy

autor

Ana I. Alonso

• Departamento de Matemática Aplicada a la Ingeniería, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Spain

autor

Jialin Hong

• Institute of Computational Mathematics and Scientific, Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P.R. China

autor

Rafael Obaya

• Departamento de Matemática Aplicada a la Ingeniería, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Spain

Bibliografia

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