Multiparameter admissible superadditive processes

• Autorzy: Doğan Çömez
• Języki publikacji: EN

Abstrakty

EN

In this article some properties of Markovian mean ergodic operators are studied. As an application of the tools developed, and using the admissibility feature, a "reduction of order" technique for multiparameter admissible superadditive processes is obtained. This technique is later utilized to obtain a.e. convergence of averages $n^{-2} ∑_{i,j=0}^{n-1} f_{(i,j)}$ as well as their weighted version.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 2
• Strony: 291-305

Daty

wydano

2005

Twórcy

autor

Doğan Çömez

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

Identyfikatory

DOI

10.4064/cm102-2-9