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Discrete Multilinear Spherical Averages

Part of: Harmonic analysis in several variables Exponential sums and character sums

Published online by Cambridge University Press:  09 January 2019

Brian Cook
Brian Cook*
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, Ohio, USA Email: [email protected]
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Abstract

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In this note we give a characterization of $\ell ^{p}\times \cdots \times \ell ^{p}\rightarrow \ell ^{q}$ boundedness of maximal operators associated with multilinear convolution averages over spheres in $\mathbb{Z}^{n}$.

Keywords

discrete maximal functionmultilinear average

MSC classification

Primary: 11L07: Estimates on exponential sums
Secondary: 42B25: Maximal functions, Littlewood-Paley theory
Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 2 , June 2019 , pp. 243 - 246
Copyright
© Canadian Mathematical Society 2018 

Footnotes

The author was supported in part by NSF grant DMS1147523.

References

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