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Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability

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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… Click to show full 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

Keywords: uniform convexity; lebesgue spaces; convexity lebesgue; modular uniform

Journal Title: Symmetry
Year Published: 2018

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