Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: ${\ell }^p$ bounds for $p>1$

Ben Krause, Joris Roos

It is proved that certain discrete analogues of maximally modulated singular integrals of Stein-Wainger type are bounded on ${\ell }^p({\mathbb{Z}}^n)$ for all $p\in (1,\infty )$. This e…