Abstract
We prove that the ergodic bilinear Hilbert transform converges almost everywhere for pairs of bounded functions. We also give a proof along the same lines of Bourgain's analog result for averages.
Citation
Ciprian Demeter. "Pointwise convergence of the ergodic bilinear Hilbert transform." Illinois J. Math. 51 (4) 1123 - 1158, Winter 2007. https://doi.org/10.1215/ijm/1258138536
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