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Weak compactness in variable exponent spaces
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-05-03 , DOI: 10.1016/j.jfa.2021.109087
Francisco L. Hernández , César Ruiz , Mauro Sanchiz

This paper shows necessary and sufficient conditions on subsets of variable exponent spaces Lp()(Ω) in order to be weakly compact. Useful criteria are given extending Andô results for Orlicz spaces. As application, we prove that all separable variable exponent spaces are weakly Banach-Saks. Also, L-weakly compact and weakly compact inclusions between variable exponent spaces are studied.



中文翻译:

可变指数空间中的紧凑性

本文显示了可变指数空间的子集的充要条件 大号pΩ为了变得紧凑。给出了扩展Orlicz空间的Andô结果的有用标准。作为应用,我们证明了所有可分离的变量指数空间都是弱的Banach-Saks。同样,研究了可变指数空间之间的L-弱紧致和弱紧致包含。

更新日期:2021-05-11
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