Editorial

Remarks on weak compactness criteria in variable exponent Lebesgue spaces

Published in: Quaestiones Mathematicae
Volume 47 , issue sup1 : To the memory of W.A.J. Luxemburg and his mathematical legacy , 2024 , pages: 195–211

DOI: 10.2989/16073606.2023.2287839

Author(s): Francisco L. Hernández Complutense University of Madrid, Spain , César Ruiz Complutense University of Madrid, Spain , Mauro Sanchiz Complutense University of Madrid, Spain

Keywords: Primary: 46E30 , Secondary: 47B60 , Variable exponent Lebesgue spaces , weak compactness

Download full text Get new issue alerts

Abstract

We give two weak compactness Andô type criteria in variable exponent Lebesgue spaces L^p (·) (Ω) on infinite measures. This extends some results of [13] given in the case of finite measures. Spaces L^p (·) (Ω) on infinite measures are weakly Banach-Saks when p ⁺ < ∞. Suitable weak compactness criteria in Nakano sequence spaces ℓ_pn are also deduced.

« Hereditarily projectable Archimedean lattice-ordered groups with unit

On a special Kapteyn series »