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On the uniqueness of the ergodic maximal function

Author(s): Roger L. Jones
Journal: Proc. Amer. Math. Soc. 132 (2004), 1087-1090.
MSC (2000): Primary 28D05, 37A05
Posted: October 9, 2003
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Abstract | References | Similar articles | Additional information

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:

1.: I. P. Cornfeld, S. V. Fomin, and Y. G. Sinai, Ergodic Theory, Springer-Verlag, New York, 1982. MR 87f:28019
2.: L. Ephremidze, On the uniqueness of the ergodic maximal function, Fundamenta Mathematicae 174 (2002) 217-228. MR 2003e:37003
3.: R. L. Jones Inequalities for the ergodic maximal function, Studia Math. 40 (1977) 111-129. MR 55:3215

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Additional Information:

Roger L. Jones
Affiliation: Department of Mathematics, DePaul University, 2330 N. Kenmore, Chicago, Illinois 60614
Email: rjones@condor.depaul.edu

DOI: 10.1090/S0002-9939-03-07277-0
PII: S 0002-9939(03)07277-0
Received by editor(s): November 28, 2002
Posted: 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 of article: Copyright 2003, American Mathematical Society


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