C. Wedrychowicz

activity

20092011

most citedConvergence and divergence of averages along subsequences in certain Orlicz spaces

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2011★ 1 cited

Almost everywhere convergence of convolution products

Karin Reinhold, Anna Savvopoulou, Christopher Wedrychowicz

Let $(X, B, m, τ)$ be a dynamical system with $\ds (X,\mathcal{B},m)$ a probability space and $\ds τ$ an invertible, measure preserving transformation. The present paper dea…

math.CA2010

Almost everywhere convergence of convolution powers without finite second moment

Christopher M. Wedrychowicz

We generalize a theorem of Bellow and Calderón concerning the a.e. convergence of the convolution powers $\ds μ^nf(x)=\sum_{k}μ^n(k)f(T^k x)$ where $T$ is a measure preserving tran…

math.DS2009★ 1 cited

Convergence and divergence of averages along subsequences in certain Orlicz spaces

C. M. Wedrychowicz

The classical theorem of Birkhoff states that the $T^{N} f (x) = (1/ N) \sum_{k = 0}^{N - 1} f (σ^{k} x)$ converges almost everywhere for $x \in X$ and $f \in L^{1} (X)$ , where $σ$ is a measure p…