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Quantitative ergodic theorems for weakly integrable functions

Published online by Cambridge University Press:  29 November 2012

ALAN HAYNES
ALAN HAYNES*
Affiliation:
School of Mathematics, University of Bristol, Bristol, UK (email: [email protected])
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Abstract

Under suitable hypotheses we establish a quantitative pointwise ergodic theorem which applies to trimmed Birkhoff sums of weakly integrable functions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 2 , April 2014 , pp. 534 - 542
Copyright
©2012 Cambridge University Press 

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