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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A construction of ergodic BMO functions


Author: Karl Petersen
Journal: Proc. Amer. Math. Soc. 79 (1980), 549-555
MSC: Primary 42B30; Secondary 28D05
MathSciNet review: 572299
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Abstract: One can explicitly construct unbounded functions having bounded mean oscillation (and in fact vanishing mean oscillation) with respect to any given ergodic measure-preserving transformation of a Lebesgue space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0572299-X
PII: S 0002-9939(1980)0572299-X
Article copyright: © Copyright 1980 American Mathematical Society