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Demeter, Ciprian; Lacey, Michael T.; Tao, Terence; Thiele, Christoph

Breaking the duality in the return times theorem. (English) Zbl 1213.42064

Duke Math. J. 143, No. 2, 281-355 (2008).
Summary: 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

Cited in 1 Review
Cited in 19 Documents

MSC:

42B25 Maximal functions, Littlewood-Paley theory
37A45 Relations of ergodic theory with number theory and harmonic analysis (MSC2010)
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\textit{C. Demeter} et al., Duke Math. J. 143, No. 2, 281--355 (2008; Zbl 1213.42064)
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