A Characterization of ${\mathcal{M}}_{A_1}({\mathbb{R}}^n)$

Cheng Chu

We characterize the set of all measurable functions on $\RR^n$ possessing an $A_1$ majorant, denoted as $\cM_{A_1}(\RR^n)$, by certain Banach function spaces. We prove that a funct…