Abstract
We prove Bourgain's return times theorem for a range of exponents and that are outside the duality range. An oscillation result is used to prove hitherto unknown almost-everywhere convergence for the signed average analogue of Bourgain's averages
Citation
Ciprian Demeter. Michael T. Lacey. Terence Tao. Christoph Thiele. "Breaking the duality in the return times theorem." Duke Math. J. 143 (2) 281 - 355, 1 June 2008. https://doi.org/10.1215/00127094-2008-020
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