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The Rearrangement Inequality for the Ergodic Maximal Function

The Rearrangement Inequality for the Ergodic Maximal Function The equivalence of the decreasing rearrangement of the ergodic maximal function and the maximal function of the decreasing rearrangement is proved. Exact constants are obtained in the corresponding inequalities. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

The Rearrangement Inequality for the Ergodic Maximal Function

Ephremidze, L.
Georgian Mathematical Journal , Volume 8 (4) – Dec 1, 2001
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Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2001.727
Publisher site
See Article on Publisher Site

Abstract

The equivalence of the decreasing rearrangement of the ergodic maximal function and the maximal function of the decreasing rearrangement is proved. Exact constants are obtained in the corresponding inequalities.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Dec 1, 2001

Keywords: Measure-preserving ergodic transformation; ergodic maximal function; decreasing rearrangement

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