On the weighted integrability of maximal ergodic ratios

Andersen, Kenneth F.

doi:10.1090/S0002-9939-1990-1021892-5

On the weighted integrability of maximal ergodic ratios
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by Kenneth F. Andersen PDF

Proc. Amer. Math. Soc. 110 (1990), 319-323 Request permission

Abstract:

Necessary and sufficient conditions on pairs of nonnegative weight functions are given which ensure that the maximal ergodic ratios defined by means of a measure preserving conservative ergodic transformation satisfy a reverse weak type inequality. From this, weighted integrability results may be deduced.

References

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