On solvability of the cohomology equation in function spaces

• Autorzy: Ryotaro Sato
• Języki publikacji: EN

Abstrakty

EN

Let T be an endomorphism of a probability measure space (Ω,𝓐,μ), and f be a real-valued measurable function on Ω. We consider the cohomology equation f = h ∘ T - h. Conditions for the existence of real-valued measurable solutions h in some function spaces are deduced. The results obtained generalize and improve a recent result of Alonso, Hong and Obaya.

Kategorie tematyczne

• 47A35: Ergodic theory
• 37A20: Orbit equivalence, cocycles, ergodic equivalence relations
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 156
• Numer: 3
• Strony: 277-293

Daty

wydano

2003

Twórcy

autor

Ryotaro Sato

• Department of Mathematics, Okayama University, Okayama, 700-8530 Japan

Identyfikatory

DOI

10.4064/sm156-3-5