Multiparameter admissible superadditive processes

Doğan Çömez. "Multiparameter admissible superadditive processes." Colloquium Mathematicae 102.2 (2005): 291-305. <http://eudml.org/doc/283597>.

@article{DoğanÇömez2005,
abstract = {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.},
author = {Doğan Çömez},
journal = {Colloquium Mathematicae},
keywords = {admissible processes; reduction of order; Markov operators; mean ergodic operators; weighted ergodic theorem; bounded Besicovitch sequences},
language = {eng},
number = {2},
pages = {291-305},
title = {Multiparameter admissible superadditive processes},
url = {http://eudml.org/doc/283597},
volume = {102},
year = {2005},
}

TY - JOUR
AU - Doğan Çömez
TI - Multiparameter admissible superadditive processes
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 2
SP - 291
EP - 305
AB - 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.
LA - eng
KW - admissible processes; reduction of order; Markov operators; mean ergodic operators; weighted ergodic theorem; bounded Besicovitch sequences
UR - http://eudml.org/doc/283597
ER -