Geodesic
Existence of discrete ergodic singular transforms for admissible processes
Doğan Çömez1
1 Department of Mathematics North Dakota State University Fargo, ND 58105-5075, U.S.A.
Colloquium Mathematicum, Tome 112 (2008) no. 2, pp. 335-343

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This article is concerned with the study of the discrete version of generalized ergodic Calderón–Zygmund singular operators. It is shown that such discrete ergodic singular operators for a class of superadditive processes, namely, bounded symmetric admissible processes relative to measure preserving transformations, are weak $(1,1)$. From this maximal inequality, a.e. existence of the discrete ergodic singular transform is obtained for such superadditive processes. This generalizes the well-known result on the existence of the ergodic Hilbert transform.
DOI : 10.4064/cm112-2-8
Keywords: article concerned study discrete version generalized ergodic calder zygmund singular operators shown discrete ergodic singular operators class superadditive processes namely bounded symmetric admissible processes relative measure preserving transformations weak maximal inequality existence discrete ergodic singular transform obtained superadditive processes generalizes well known result existence ergodic hilbert transform

Doğan Çömez 1

1 Department of Mathematics North Dakota State University Fargo, ND 58105-5075, U.S.A. 
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Doğan Çömez. Existence of discrete ergodic singular transforms
 for admissible processes. Colloquium Mathematicum, Tome 112 (2008) no. 2, pp. 335-343. doi: 10.4064/cm112-2-8

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