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.
Publié le : 2007-10-15
Classification:
47A35,
28D05,
37A30,
42B20,
47B38
@article{1258138536,
author = {Demeter, Ciprian},
title = {Pointwise convergence of the ergodic bilinear Hilbert transform},
journal = {Illinois J. Math.},
volume = {51},
number = {3},
year = {2007},
pages = { 1123-1158},
language = {en},
url = {http://dml.mathdoc.fr/item/1258138536}
}
Demeter, Ciprian. Pointwise convergence of the ergodic bilinear Hilbert transform. Illinois J. Math., Tome 51 (2007) no. 3, pp. 1123-1158. http://gdmltest.u-ga.fr/item/1258138536/