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Doğan Çömez
Convergence of Moving Averages of Multiparameter Superadditive Processes
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| Published: |
July 29, 1998 |
| Keywords: |
superadditive processes, admissible processes, moving averages, almost everywhere convergence, convergence in the mean |
| Subject: |
Primary 47A35, Secondary 28D99 |
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Abstract
It is shown that moving averages sequences
are good in the mean for multiparameter strongly superadditive processes
in L1, and good in the p-mean for multiparameter admissible
superadditive processes in Lp, 1≦ p<∞. Also,
using a decomposition theorem in Lp-spaces, a.e. convergence of
the moving averages of multiparameter superadditive
processes with respect to positive Lp-contractions, 1<p<∞,
is obtained.
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| Acknowledgements
This work was supported in part by ND-EPSCoR through NSF OSR-9452892.
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| Author information
Department of Mathematics, North Dakota State University, Fargo, ND 58105-5075, USA
comez@plains.nodak.edu
http://hypatia.math.ndsu.NoDak.edu/faculty/comez/
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