Niu, C., Zhang, X. (2017). Two-weight norm inequalities for the higher-order commutators of fractional integral operators. Advances in Operator Theory, 2(3), 201-214. doi: 10.22034/aot.1612-1075

Caiyin Niu; Xiaojin Zhang. "Two-weight norm inequalities for the higher-order commutators of fractional integral operators". Advances in Operator Theory, 2, 3, 2017, 201-214. doi: 10.22034/aot.1612-1075

Niu, C., Zhang, X. (2017). 'Two-weight norm inequalities for the higher-order commutators of fractional integral operators', Advances in Operator Theory, 2(3), pp. 201-214. doi: 10.22034/aot.1612-1075

Niu, C., Zhang, X. Two-weight norm inequalities for the higher-order commutators of fractional integral operators. Advances in Operator Theory, 2017; 2(3): 201-214. doi: 10.22034/aot.1612-1075

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

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

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 $0<\alpha<n$.