Sharp weighted estimates for the Bessel Riesz transform and its commutator with Andersen--Kerman weights

Chaojie Wen

Let $\lambda >-1/2$, $\lambda \ne 0$, and let ${\Delta }_{\lambda }=-\frac{d^2}{d{x}^2}-\frac{2\lambda }{x}\frac{d}{dx}$ be the Bessel operator on ${\mathbb{R}}_{+}=(0,\infty )$ studied by Muckenhoupt and Stein (TAMS 1965). An…