Breaking the Duality in the Return times Theorem

نویسندگان

  • Ciprian Demeter
  • Michael Lacey
  • Terence Tao
چکیده

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 analog of Bourgain’s averages.

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تاریخ انتشار 2006