Ergodic averages with generalized weights

• Autorzy: Doğan Çömez , Semyon N. Litvinov
• Języki publikacji: EN

Abstrakty

EN

Two types of weighted ergodic averages are studied. It is shown that if F = {Fₙ} 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.

Kategorie tematyczne

• 37A99: None of the above, but in this section
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 173
• Numer: 2
• Strony: 103-128

Daty

wydano

2006

Twórcy

autor

Doğan Çömez

• Department of Mathematics, North Dakota State University, Fargo, ND 58105-5075, U.S.A.

autor

Semyon N. Litvinov

• Department of Mathematics, Penn State University at Hazleton, Hazleton, PA 18202, U.S.A.

Identyfikatory

DOI

10.4064/sm173-2-1