Commutators of Fractional Integrals with ${\mathrm{BMO}}^{\beta }$ Functions

You-Wei Benson Chen, Alejandro Claros

We study commutators of the Riesz potential $I_{\alpha }$ with functions $b$ in the capacitary space ${\mathrm{BMO}}^{\beta }({\mathbb{R}}^n)$, defined through the Hausdorff content $\mathcal{H}^β_\i…