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 and the classes .
@article{bwmeta1.element.bwnjournal-article-smv128i2p145bwm,
author = {Michael Braverman and Ben-Zion Rubshtein and Alexander Veksler},
title = {Dominated ergodic theorems in rearrangement invariant spaces},
journal = {Studia Mathematica},
volume = {129},
year = {1998},
pages = {145-157},
zbl = {0913.46027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv128i2p145bwm}
}
Braverman, Michael; Rubshtein, Ben-Zion; Veksler, Alexander. Dominated ergodic theorems in rearrangement invariant spaces. Studia Mathematica, Tome 129 (1998) pp. 145-157. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv128i2p145bwm/
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