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Dominated ergodic theorems in rearrangement invariant spaces

Michael Braverman; Ben-Zion Rubshtein; Alexander Veksler — 1998

Studia Mathematica

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 $L_{p}$ and the classes $L l o g^{n} L$ .

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