On the uniqueness of the uncentered ergodic maximal function

Volume 183 / 2004

Paul Alton Hagelstein Fundamenta Mathematicae 183 (2004), 81-90 MSC: Primary 28D05, 37A05, 42B25. DOI: 10.4064/fm183-1-5


It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.


  • Paul Alton HagelsteinDepartment of Mathematics
    Baylor University
    Waco, TX 76798, U.S.A.

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