Weighted reverse weak type inequalities for the ergodic maximal function and the classes $L\textrm {log}^ +L$
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- by Kenneth F. Andersen and Wo-Sang Young PDF
- Proc. Amer. Math. Soc. 95 (1985), 275-279 Request permission
Abstract:
D. Ornstein proved that the ergodic maximal function satisfies a reverse weak type inequality, and from this he deduced that the integrability of the maximal function ${f^ * }$ implies that $f$ belongs to $L{\log ^ + }L$. Weighted analogues of these results are proved.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 275-279
- MSC: Primary 28D05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0801338-8
- MathSciNet review: 801338