A Discrete Carleson Theorem Along the Primes with a Restricted Supremum

Laura Cladek, Kevin Henriot, Ben Krause +2

Consider the discrete maximal function acting on finitely supported functions on the integers, \[ \mathcal{C}_Λf(n) := \sup_{λ\in Λ} | \sum_{p \in \pm \mathbb{P}} f(n-p) \log |p| \…