论文标题
在一类Orlicz功能上
On one class of Orlicz functions
论文作者
论文摘要
Answering to a recent question raised by Leśnik, Maligranda, and Tomaszewski, we prove that there is an Orlicz function $Φ$ with the upper Matuszewska-Orlicz index equal to $1$ such that the Orlicz space $L_Φ$ does not satisfy Dunford-Pettis criterion of weak compactness.
Answering to a recent question raised by Leśnik, Maligranda, and Tomaszewski, we prove that there is an Orlicz function $Φ$ with the upper Matuszewska-Orlicz index equal to $1$ such that the Orlicz space $L_Φ$ does not satisfy Dunford-Pettis criterion of weak compactness.
