Breaking the duality in the return times theorem
Demeter, Ciprian ; Lacey, Michael T. ; Tao, Terence ; Thiele, Christoph
Duke Math. J., Tome 141 (2008) no. 1, p. 281-355 / Harvested from Project Euclid
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We prove Bourgain's return times theorem for a range of exponents $p$ and $q$ 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
Publié le : 2008-06-01
Classification:  42B25,  37A45 
@article{1211819164,
     author = {Demeter, Ciprian and Lacey, Michael T. and Tao, Terence and Thiele, Christoph},
     title = {Breaking the duality in the return times theorem},
     journal = {Duke Math. J.},
     volume = {141},
     number = {1},
     year = {2008},
     pages = { 281-355},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1211819164}
}

Demeter, Ciprian; Lacey, Michael T.; Tao, Terence; Thiele, Christoph. Breaking the duality in the return times theorem. Duke Math. J., Tome 141 (2008) no. 1, pp.  281-355. http://gdmltest.u-ga.fr/item/1211819164/