On the uniqueness of the ergodic maximal function
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- by Roger L. Jones PDF
- Proc. Amer. Math. Soc. 132 (2004), 1087-1090 Request permission
Abstract:
We give a new (shorter) proof of a result of L. Ephremidze showing that if two functions have the same ergodic maximal function, then they are equal a.e.References
- I. P. Cornfeld, S. V. Fomin, and Ya. G. Sinaĭ, Ergodic theory, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 245, Springer-Verlag, New York, 1982. Translated from the Russian by A. B. Sosinskiĭ. MR 832433, DOI 10.1007/978-1-4615-6927-5
- Lasha Ephremidze, On the uniqueness of the ergodic maximal function, Fund. Math. 174 (2002), no. 3, 217–228. MR 1924999, DOI 10.4064/fm174-3-2
- Roger L. Jones, Inequalities for the ergodic maximal function, Studia Math. 60 (1977), no. 2, 111–129. MR 430208, DOI 10.4064/sm-60-2-111-129
Additional Information
- Roger L. Jones
- Affiliation: Department of Mathematics, DePaul University, 2330 N. Kenmore, Chicago, Illinois 60614
- Email: rjones@condor.depaul.edu
- Received by editor(s): November 28, 2002
- Published electronically: October 9, 2003
- Additional Notes: The author is partially supported by a research leave granted by DePaul University’s Research Council.
- Communicated by: Michael Handel
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1087-1090
- MSC (2000): Primary 28D05, 37A05
- DOI: https://doi.org/10.1090/S0002-9939-03-07277-0
- MathSciNet review: 2045424