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Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability
Journal article   Peer reviewed

Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability

Mostafa Bachar, Osvaldo Mendez and Messaoud Bounkhel
Symmetry (Basel), Vol.10(12), p.708
01/12/2018
DOI: https://doi.org/10.3390/sym10120708

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
We analyze the modular geometry of the Lebesgue space with variable exponent, L-p((.)). Our central result is that L-p((.)) possesses a modular uniform convexity property. Part of the novelty is that the property holds even in the case sup(x is an element of ohm) p(x) = infinity. We present specific applications to fixed point theory.

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