Tusi Mathematical Research Group (TMRG)Advances in Operator Theory2538-225X2320170701Two-weight norm inequalities for the higher-order commutators of fractional integral operators2012144449010.22034/aot.1612-1075ENCaiyin NiuXiaojin ZhangJournal Article20161209In 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 $0<alpha<n$.http://www.aot-math.org/article_44490_12d0701fe5fcfd677d8a14ebcc6ae07d.pdf