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The Best Constants Associated with some Weak Maximal Inequalities in Ergodic Theory

Published online by Cambridge University Press:  20 November 2018

Ciprian Demeter
Ciprian Demeter*
Affiliation:
Department of Mathematics, University of Illinois at Urbana, Urbana, Illinois 61801, USA e-mail: demeter@math.uiuc.edu
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Abstract

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We introduce a new device of measuring the degree of the failure of convergence in the ergodic theorem along subsequences of integers. Relations with other types of bad behavior in ergodic theory and applications to weighted averages are also discussed.

Keywords

37A05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 56 , Issue 3 , 01 June 2004 , pp. 449 - 471
Copyright
Copyright © Canadian Mathematical Society 2004

References

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