Characterizations of a class of Musielak--Orlicz BMO spaces via commutators of Riesz potential operators

Yanyan Han, Hongwei Huang, Jinghan Shao +1

The fractional integral operators $I_{\hat{I}}\pm$ can be used to characterize the Musielak--Orlicz Hardy spaces. This paper shows that for $b\in \mathrm{BMO}({\mathbb{R}}^{\mathrm{n}})$, the commutators $[b,I…