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## Ergodic averages with generalized weights

### Tom 173 / 2006

Studia Mathematica 173 (2006), 103-128 MSC: Primary 28D05; Secondary 37A99. DOI: 10.4064/sm173-2-1

#### Streszczenie

Two types of weighted ergodic averages are studied. It is shown that if $F=\{ F_n\}$ is an admissible superadditive process relative to a measure preserving transformation, then a Wiener–Wintner type result holds for $F$. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are also identified.

#### Autorzy

• Doğan ÇömezDepartment of Mathematics
North Dakota State University
Fargo, ND 58105-5075, U.S.A.
e-mail
• Semyon N. LitvinovDepartment of Mathematics
Penn State University at Hazleton
Hazleton, PA 18202, U.S.A.
e-mail

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