Ryotaro Sato
Another proof of Derriennic's reverse maximal inequality for the supremum of ergodic ratios

Comment.Math.Univ.Carolinae 47,1 (2006) 155-158.

Abstract:Using the ratio ergodic theorem for a measure preserving transformation in a $\sigma $-finite measure space we give a straightforward proof of Derriennic's reverse maximal inequality for the supremum of ergodic ratios.

Keywords: $\sigma $-finite measure space, measure preserving transformation, conservative, ergodic, supremum of ergodic ratios, maximal and reverse maximal inequalities
AMS Subject Classification: Primary 28D05, 47A35

PDF