Convergence in the Cesàro sense of ergodic operators associated with a flow

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 $-1\lt \alpha \leq 0$.