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Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability
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Submitted:
12 November 2018
Posted:
14 November 2018
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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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Subject: Computer Science and Mathematics - Analysis
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