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Improved Range in the Return Times Theorem

Published online by Cambridge University Press:  20 November 2018

Ciprian Demeter
Ciprian Demeter*
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USAe-mail: [email protected]
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Abstract

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We prove that the Return Times Theoremholds true for pairs of ${{L}^{p}}\,-\,{{L}^{q}}$ functions, whenever $\frac{1}{p}\,+\,\frac{1}{q}\,<\,\frac{3}{2}$.

Keywords

42B2537A45Return Times Theoremmaximal multipliermaximal inequality
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 4 , 01 December 2012 , pp. 708 - 722
Copyright
Copyright © Canadian Mathematical Society 2012

References

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