Breaking the duality in the return times theorem

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

Type: Article

Publication Date: 2008-05-26

Citations: 52

DOI: https://doi.org/10.1215/00127094-2008-020

Abstract

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

Locations

Duke Mathematical Journal - View
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - View - PDF
Duke Mathematical Journal - View
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - View - PDF

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