The Riesz Transform and Fractional Integral Operators in the Bessel Setting

Jorge J. Betancor, Xuan Thinh Duong, Ming-Yi Lee +2

Fix $\lambda >0$. Consider the Bessel operator ${△}_{\lambda }:=-\frac{d^2}{d{x}^2}-\frac{2\lambda }{x}\frac{d}{dx}$ on ${\mathbb{R}}_{+}$, where ${\mathbb{R}}_{+}:=(0,\infty )$ and $d{m}_{\lambda }:=x^{2\lambda }dx$ with $dx$…