Pointwise convergence of averages along cubes II

Idris Assani

Pointwise convergence of averages along cubes II

Dynamical Systems 2008-07-09 v2

Authors: Idris Assani

Abstract

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 $k$ .

Keywords

pointwise convergence averages along cubes measure preserving system bounded measurable functions

Cite

@article{arxiv.math/0305403,
  title  = {Pointwise convergence of averages along cubes II},
  author = {Idris Assani},
  journal= {arXiv preprint arXiv:math/0305403},
  year   = {2008}
}

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

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