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Improved Range in the Return Times Theorem

  Published:2011-06-14
 Printed: Dec 2012
  • Ciprian Demeter,
    Department of Mathematics, Indiana University, Bloomington, IN 47405, USA
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Abstract

We prove that the Return Times Theorem holds true for pairs of $L^p-L^q$ functions, whenever $\frac{1}{p}+\frac{1}{q}<\frac{3}{2}$.
Keywords: Return Times Theorem, maximal multiplier, maximal inequality Return Times Theorem, maximal multiplier, maximal inequality
MSC Classifications: 42B25, 37A45 show english descriptions Maximal functions, Littlewood-Paley theory
Relations with number theory and harmonic analysis [See also 11Kxx]
42B25 - Maximal functions, Littlewood-Paley theory
37A45 - Relations with number theory and harmonic analysis [See also 11Kxx]
 

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