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Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: $\ell^p$ bounds for $p>1$ (2107.14616v2)

Published 30 Jul 2021 in math.CA

Abstract: It is proved that certain discrete analogues of maximally modulated singular integrals of Stein-Wainger type are bounded on $\ellp(\mathbb{Z}n)$ for all $p\in (1,\infty)$. This extends earlier work of the authors concerning the case $p=2$. Some open problems for further investigation are briefly discussed.

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