$\ell^p(\mathbb{Z}^d)$-Improving Properties and Sparse Bounds for Discrete Spherical Maximal Means, Revisited

Published 17 Sep 2018 in math.CA | (1809.06468v1)

Abstract: We prove an expanded range of $\ell ^{{p}(\mathbb{Z}^{d)$-improving}} properties and sparse bounds for discrete spherical maximal means in every dimension $d\geq 6$. Essential elements of the proofs are bounds for high exponent averages of Ramanujan and restricted Kloosterman sums.

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Authors (1)

Robert Kesler

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