The Converse of the Dominated Ergodic Theorem in Hurewicz Setting
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Published:1991-09-01
Issue:3
Volume:34
Page:405-411
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Abstract
AbstractThe 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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics