Multiparameter admissible superadditive processes

Doğan Çömez

Doğan Çömez

Colloquium Mathematicae, Tome 103 (2005), p. 291-305 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $n^{- 2} \sum_{i, j = 0}^{n - 1} f_{(i, j)}$ as well as their weighted version.

Publié le : 2005-01-01

Zbl 1073.28010

EUDML-ID : urn:eudml:doc:283597

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     title = {Multiparameter admissible superadditive processes},
     journal = {Colloquium Mathematicae},
     volume = {103},
     year = {2005},
     pages = {291-305},
     zbl = {1073.28010},
     language = {en},
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Doğan Çömez. Multiparameter admissible superadditive processes. Colloquium Mathematicae, Tome 103 (2005) pp. 291-305. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-2-9/