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Application on the Validity of Weak Compactness in Variable Exponent Spaces |
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PP: 175-186 |
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doi:10.18576/amis/170118
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Author(s) |
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A. A. H. Alrabiaa,
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Abstract |
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| This research aimed to show the validity following Francisco L.Hernández, César Ruiz and Mauro Sanchiz [1], of the necessary and sufficient conditions on subsets of variable exponent spaces 𝐿"(ˇ)(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.
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