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

Ana Alonso; Jialin Hong; Rafael Obaya

Studia Mathematica (2000)

- Volume: 138, Issue: 2, page 121-134
- ISSN: 0039-3223

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topAlonso, Ana, Hong, Jialin, and Obaya, Rafael. "Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 < p < ∞." Studia Mathematica 138.2 (2000): 121-134. <http://eudml.org/doc/216694>.

@article{Alonso2000,

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},

author = {Alonso, Ana, Hong, Jialin, Obaya, Rafael},

journal = {Studia Mathematica},

keywords = {integrable cocycles},

language = {eng},

number = {2},

pages = {121-134},

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

url = {http://eudml.org/doc/216694},

volume = {138},

year = {2000},

}

TY - JOUR

AU - Alonso, Ana

AU - Hong, Jialin

AU - Obaya, Rafael

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

JO - Studia Mathematica

PY - 2000

VL - 138

IS - 2

SP - 121

EP - 134

AB - 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

LA - eng

KW - integrable cocycles

UR - http://eudml.org/doc/216694

ER -

## References

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