Abstract
We study the a.e. convergence of the Cesàro-$(1+\alpha)$ ergodic averages and the a.e. existence in the Cesàro-$\alpha$ sense of the ergodic Hilbert transform associated with Cesàro bounded flow and $-1\lt \alpha \leq 0$.
Citation
A. L. Bernardis. F. J. Martín-Reyes. M. D. Sarrión Gavilán. "Convergence in the Cesàro sense of ergodic operators associated with a flow." Illinois J. Math. 44 (3) 667 - 680, Fall 2000. https://doi.org/10.1215/ijm/1256060423
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