Geodesic
Dominated ergodic theorems in rearrangement invariant spaces
Studia Mathematica, Tome 128 (1998) no. 2, pp. 145-157

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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 $L log^nL$.
DOI : 10.4064/sm-128-2-145-157
Keywords: rearrangement invariant space, ergodic theorem, Hardy-Littlewood property

Michael Braverman 1 ;  1

1 
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Michael Braverman;  . Dominated ergodic theorems in rearrangement invariant spaces. Studia Mathematica, Tome 128 (1998) no. 2, pp. 145-157. doi: 10.4064/sm-128-2-145-157

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