Geodesic
On solvability of the cohomology equation in function spaces
Ryotaro Sato1
1 Department of Mathematics Okayama University Okayama, 700-8530 Japan
Studia Mathematica, Tome 156 (2003) no. 3, pp. 277-293

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $T$ be an endomorphism of a probability measure space $({\mit\Omega },{\cal A},\mu )$, and $f$ be a real-valued measurable function on ${\mit\Omega }$. We consider the cohomology equation $f=h\circ T-h$. 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.
DOI : 10.4064/sm156-3-5
Keywords: endomorphism probability measure space mit omega cal real valued measurable function mit omega consider cohomology equation circ t h conditions existence real valued measurable solutions function spaces deduced results obtained generalize improve recent result alonso hong obaya

Ryotaro Sato 1

1 Department of Mathematics Okayama University Okayama, 700-8530 Japan 
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Ryotaro Sato. On solvability of the cohomology equation
 in function spaces. Studia Mathematica, Tome 156 (2003) no. 3, pp. 277-293. doi: 10.4064/sm156-3-5

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