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Remarks on weak compactness criteria in variable exponent Lebesgue spaces

Remarks on weak compactness criteria in variable exponent Lebesgue spaces

1AbstractWe give two weak compactness Andô type criteria in variable exponent Lebesgue spaces Lp(·) (Ω) on infinite measures. This extends some results of [13] given in the case of finite measures. Spaces Lp(·) (Ω) on infinite measures are weakly Banach-Saks when p+ < ∞. Suitable weak compactness criteria in Nakano …