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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
MathSciNet review:
2045424
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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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