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The Converse of the Dominated Ergodic Theorem in Hurewicz Setting

Published online by Cambridge University Press:  20 November 2018

László I. Szabó
László I. Szabó*
Affiliation:
The Ohio State University, Columbus, Ohio, USA
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Abstract

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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.

Keywords

28D9947A35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 3 , 01 September 1991 , pp. 405 - 411
Copyright
Copyright © Canadian Mathematical Society 1991

References

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