Convergence in the Cesaro sense of ergodic operators associated with a flow

Authors
Bernardis, AL Martin-Reyes, FJ Gavilan, MDS
Citation
Al. Bernardis et al., Convergence in the Cesaro sense of ergodic operators associated with a flow, ILL J MATH, 44(3), 2000, pp. 667-680
Citations number
14
Categorie Soggetti
Mathematics
Journal title
ILLINOIS JOURNAL OF MATHEMATICS
ISSN journal
00192082 → ACNP
Volume
44
Issue
3
Year of publication
2000
Pages
667 - 680
Database
ISI
SICI code
0019-2082(200023)44:3<667:CITCSO>2.0.ZU;2-7
Abstract
We study the a.e. convergence of the Cesaro-(1+alpha) ergodic averages and the a.e. existence in the Cesaro-alpha sense of the ergodic Hilbert transfo rm associated with a Cesaro bounded flow and - 1 < <alpha> less than or equ al to 0.