A construction of ergodic BMO functions

Petersen, Karl

doi:10.1090/S0002-9939-1980-0572299-X

A construction of ergodic BMO functions
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by Karl Petersen

Proc. Amer. Math. Soc. 79 (1980), 549-555

DOI: https://doi.org/10.1090/S0002-9939-1980-0572299-X

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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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