Commutators of Fractional Integrals with ${\mathrm{BMO}}^2$ Functions

You-Wei Benson Chen, Alejandro Claros

We study commutators of the Riesz potential $I_{\hat{I}}\pm$ with functions $b$ in the capacitary space ${\mathrm{BMO}}^2({\mathbb{R}}^n)$, defined through the Hausdorff content $\mathcal{H}^β…