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Ryotaro Sato )JDAH FHB B ,AHHEAE?I HALAHIA =NE= EAGK=EJO BH JDA IKFHAK B AHC@E? H=JEI

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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 aσ-finite measure space we give a straightforward proof of Derriennic’s reverse maximal inequality for the supremum of ergodic ratios.

Keywords: σ-finite measure space, measure preserving transformation, conserva- tive, ergodic, supremum of ergodic ratios, maximal and reverse maximal inequalities AMS Subject Classification: Primary 28D05, 47A35

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