Skip Navigation


The Quarterly Journal of Mathematics Advance Access originally published online on February 9, 2007
The Quarterly Journal of Mathematics 2007 58(2):137-150; doi:10.1093/qmath/hal023
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
58/2/137    most recent
hal023v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (1)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Bernardis, A. L.
Right arrow Articles by Martínez, M. T.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2007. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

DIFFERENCES OF ERGODIC AVERAGES FOR CESÀRO BOUNDED OPERATORS

A. L. Bernardis1, M. Lorente2, F. J. Martín-Reyes2,{dagger}, A. de la Torre2 and M. T. Martínez3

1 IMAL-CONICET, Güemes 3450, (3000) Santa Fe, Argentina
2 Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
3 Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain

{dagger} Corresponding author. E-mail: martin_reyes{at}uma.es

Received 13 June 2006;
  Abstract

We prove that the weighted differences of ergodic averages, induced by a Cesàro bounded, strongly continuous, one-parameter group of positive, invertible, linear operators on Lp, 1 < p < {infty}, converge almost every where and in the Lp-norm. We obtain first the boundedness of the ergodic maximal operator and the convergence of the averages.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.