Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability

2018 · doi:10.20944/preprints201811.0325.v1
preprint OA: closed CC-BY-4.0
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Abstract

We analyze the modular geometry of the variable exponent Lebesgue space Lp(.). We show that Lp(.) possesses a modular uniform convexity property. Part of the novelty is that the property holds even in the case supp(x) = ∞ . We present specific applications to fixed point theory. xÆΩ

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License: CC-BY-4.0