Multiparameter admissible superadditive processes
Colloquium Mathematicum, Tome 102 (2005) no. 2, pp. 291-305
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.
Keywords:
article properties markovian mean ergodic operators studied application tools developed using admissibility feature reduction order technique multiparameter admissible superadditive processes obtained technique later utilized obtain convergence averages sum n their weighted version
Affiliations des auteurs :
Doğan Çömez  1
@article{10_4064_cm102_2_9,
author = {Do\u{g}an \c{C}\"omez},
title = {Multiparameter admissible superadditive processes},
journal = {Colloquium Mathematicum},
pages = {291--305},
year = {2005},
volume = {102},
number = {2},
doi = {10.4064/cm102-2-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm102-2-9/}
}
Doğan Çömez. Multiparameter admissible superadditive processes. Colloquium Mathematicum, Tome 102 (2005) no. 2, pp. 291-305. doi: 10.4064/cm102-2-9
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