# Two-weight norm inequalities for the higher-order commutators of fractional integral operators

Document Type: Original Article

Authors

Abstract

In this paper, we obtain several sufficient conditions such that the higher-order commutators $I_{\alpha,b}^m$ generated by $I_\alpha$ and $b\in \textrm{BMO}(\mathbb{R}^n)$ is bounded from $L^p(v)$ to $L^q(u)$, where $\frac{1}{q}=\frac{1}{p}-\frac{\alpha}{n}$ and $0<\alpha<n$.

Keywords

### Histroty

• Receive Date: 09 December 2016
• Revise Date: 14 March 2017
• Accept Date: 21 March 2017