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Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability
Version 1
: Received: 12 November 2018 / Approved: 14 November 2018 / Online: 14 November 2018 (08:15:05 CET)
A peer-reviewed article of this Preprint also exists.
Bachar, M.; Mendez, O.; Bounkhel, M. Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability. Symmetry 2018, 10, 708. Bachar, M.; Mendez, O.; Bounkhel, M. Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability. Symmetry 2018, 10, 708.
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
Fixed point theorem, modular uniform convexity, modular vector spaces, Nakano spaces, uniform convexity, variable exponent spaces.
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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