Sharp ${\ell }^p$ inequalities for discrete singular integrals on the lattice ${\mathbb{Z}}^d$

Rodrigo Bañuelos, Daesung Kim, Mateusz Kwaśnicki

This paper investigates higher dimensional versions of the longstanding conjecture verified in [Bañuelos and Kwaśnicki, Duke Math. J. (2019)] that the ${\ell }^p$-norm of the discrete…