Pointwise localization and sharp weighted bounds for Rubio de Francia square functions

Francesco Di Plinio, Mikel Flórez-Amatriain, Ioannis Parissis +1

Let $H_{\omega }f$ be the Fourier restriction of $f\in L^2(\mathbb{R})$ to an interval $\omega \subset \mathbb{R}$. If $\Omega$ is an arbitrary collection of pairwise disjoint intervals, the square f…