Schatten--Lorentz characterization of Riesz transform commutator associated with Bessel operators

Zhijie Fan, Michael Lacey, Ji Li +1

Let ${\Delta }_{\lambda }$ be the Bessel operator on the upper half space ${\mathbb{R}}_{+}^{n+1}$ with $n\ge 0$ and $\lambda >0$, and $R_{\lambda ,j}$ be the $j-$th Bessel Riesz transform, $j=1,\dots ,n+1$. We dem…