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On the ergodic maximal equality. (English) Zbl 1037.37001
The ergodic maximal inequality for actions of $$\mathbb{R}^{+}$$ preserving a $$\sigma$$-finite measure is derived from the so-called ‘Rising Sun Lemma’ of F. Riesz [J. Lond. Math. Soc. 7, 10–13 (1932; Zbl 0003.39201)].
##### MSC:
 37A15 General groups of measure-preserving transformations and dynamical systems
maximal equality