%0 Journal Article
%T Two-weight norm inequalities for the higher-order commutators of fractional integral operators
%J Advances in Operator Theory
%I Tusi Mathematical Research Group (TMRG)
%Z 2538-225X
%A Niu, Caiyin
%A Zhang, Xiaojin
%D 2017
%\ 07/01/2017
%V 2
%N 3
%P 201-214
%! Two-weight norm inequalities for the higher-order commutators of fractional integral operators
%K Fractional integrals
%K BMO
%K higher-order commutators
%K two-weight
%R 10.22034/aot.1612-1075
%X In this paper, we obtain several sufficient conditions such that the higher-order commutators $I_{alpha,b}^m$ generated by $I_alpha$ and $bin textrm{BMO}(mathbb{R}^n)$ is bounded from $L^p(v)$ to $L^q(u)$, where $frac{1}{q}=frac{1}{p}-frac{alpha}{n}$ and $0