On the maximal directional Hilbert transform

Izabella Laba, Alessandro Marinelli, Malabika Pramanik

For any dimension $n\ge 2$, we consider the maximal directional Hilbert transform ${\mathcal{H}}_U$ on ${\mathbb{R}}^n$ associated with a direction set $U\subseteq {\mathbb{S}}^{n-1}$:…