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The Converse of the Dominated Ergodic Theorem in Hurewicz Setting
Published online by Cambridge University Press: 20 November 2018
Abstract
The converse of the dominated ergodic theorem in infinite measure spaces is extended to non-singular transformations, i.e. transformations that only preserve the measure of null sets. An inverse weak maximal inequality is given and then applied to obtain related results in Orlicz spaces.
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- Copyright © Canadian Mathematical Society 1991