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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
 Format: LaTeX MathJax PDF

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
 MSC Classifications: 42B25 - Maximal functions, Littlewood-Paley theory 37A45 - Relations with number theory and harmonic analysis [See also 11Kxx]