Boundedness of commutator generated by fractional integral operator and Orlicz-BMO function

Zixing Zhuang, Chenglong Fang, Liwen Cao

For $\hat{I}\pm \in (0,n)$ and a growth function $\ddot{I}†:[0,\infty )\to [0,\infty )$, it is proved that the commutator $[b,I_{\hat{I}}\pm ]$ generated by fractional integral operator $I_{\hat{I}}\pm$ and Orli…