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ArticleOriginal scientific text

Title

Dominated ergodic theorems in rearrangement invariant spaces

Authors 1, 1, 2

Affiliations

  1. Department of Mathematics & Computer Sciences, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel
  2. Department of Mathematics, Tashkent State University, Tashkent, Uzbekistan

Abstract

We study conditions under which Dominated Ergodic Theorems hold in rearrangement invariant spaces. Consequences for Orlicz and Lorentz spaces are given. In particular, our results generalize the classical theorems for the spaces Lp and the classes LlognL.

Keywords

ENG
rearrangement invariant space, ergodic theorem, Hardy-Littlewood property

Bibliography

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Studia Mathematica
1998/128/2
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Pages:
145-157
Main language of publication
English
Received
1997-01-30
Accepted
1997-08-28
Published
1998
Exact and natural sciences