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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the uniqueness of the ergodic maximal function
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by Roger L. Jones
Proc. Amer. Math. Soc. 132 (2004), 1087-1090
DOI: https://doi.org/10.1090/S0002-9939-03-07277-0
Published electronically: October 9, 2003

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
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Bibliographic 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