Riesz transforms in one dimension

Andrew Hassell, Adam Sikora

We study the boundedness on $L^p$ of the Riesz transform $\nabla L^{-1/2}$, where $L$ is one of several operators defined on $\mathbb{R}$ or ${\mathbb{R}}_{+}$, endowed with the measure $r^{d-1}dr$,…