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

Zixing Zhuang, Chenglong Fang, Liwen Cao

For $\alpha \in (0,n)$ and a growth function $\phi :[0,\infty )\to [0,\infty )$, it is proved that the commutator $[b,I_{\alpha }]$ generated by fractional integral operator $I_{\alpha }$ and Orlicz $…