@Article{Kamal2017,
author="Kamal, El Fahri
and Jawad, H'michane
and Abdelmonim, El Kaddouri
and Moulay Othmane, Aboutafail",
title="On the weak compactness of Weak* Dunford-Pettis operators on Banach lattices",
journal="Advances in Operator Theory",
year="2017",
volume="2",
number="3",
pages="192-200",
abstract="We characterize Banach lattices on which each positive weak* Dunford--Pettis operator is weakly (resp., M-weakly, resp., order weakly) compact. More precisely, we prove that if $F$ is a Banach lattice with order continuous norm, then each positive weak* Dunford--Pettis operator $T : E\longrightarrow F$ is weakly compact if, and only if, the norm of $E^{\prime}$ is order continuous or $F$ is reflexive. On the other hand, when the Banach lattice $F$ is Dedekind $\sigma$-complete, we show that every positive weak* Dunford--Pettis operator $T: E\longrightarrow F$ is M-weakly compact if, and only if, the norms of $E^{\prime}$ and $F$ are order continuous or $E$ is finite-dimensional.",
issn="2538-225X",
doi="10.22034/aot.1612-1078",
url="http://www.aot-math.org/article_44450.html"
}
@Article{Niu2017,
author="Niu, Caiyin
and Zhang, Xiaojin",
title="Two-weight norm inequalities for the higher-order commutators of fractional integral operators",
journal="Advances in Operator Theory",
year="2017",
volume="2",
number="3",
pages="201-214",
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