Pointwise convergence of averages along cubes II

Details Pointwise convergence of averages along cubes II Pointwise convergence of averages along cubes II

2003-05-28

arxiv.org/abs/math/0305403v2

Mathematics

Dynamical Systems

12 pages, latex, initially. Now it 10 pages long. It is modified accordingly to the changes made in the paper math.DS/0305388

Scientific paper

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 $k$.

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