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arXiv:math/0305403 [math.DS]AbstractReferencesReviewsResources

Pointwise convergence of averages along cubes II

Idris Assani

Published 2003-05-28, updated 2003-11-25Version 2

Let $(X,\mathcal{B},\mu, T)$ be a measure preserving system. We prove the pointwise convergence of averages along cubes of $2^{k}-1$ bounded and measurable functions for all $k$.

Comments: 12 pages, latex, initially. Now it 10 pages long. It is modified accordingly to the changes made in the paper math.DS/0305388 which deals with the averages of three and seven functions and the weakly mixing case
Categories: math.DS
Subjects: 37A30
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arXiv:math/0305388 [math.DS] (Published 2003-05-27, updated 2003-11-23)
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