Application on the Validity of Weak Compactness in Variable Exponent Spaces

Authors

A. A. H. Alrabiaa, Department of Mathematics, Deanship of Preparatory Year, Shaqra University, Shaqra, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

This research aimed to show the validity following Francisco L.Hern?ndez, César Ruiz and Mauro Sanchiz [1], of the necessary and sufficient conditions on subsets of variable exponent spaces 𝐿(·)(Ω) in order to be weakly compact. Useful criteria are given extending Andô results for Orlicz spaces. This research aimed to show that all separable variable exponent spaces are weakly Banach-Saks. Also, L-weakly compact and weakly compact inclusions between variable exponent spaces are studied.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170118

Recommended Citation

A. H. Alrabiaa, A. (2023) "Application on the Validity of Weak Compactness in Variable Exponent Spaces," Applied Mathematics & Information Sciences: Vol. 17: Iss. 1, Article 18.
DOI: http://dx.doi.org/10.18576/amis/170118
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss1/18