Preprint Article Version 1 This version is not peer-reviewed

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.

Journal reference: Symmetry 2018, 10, 708
DOI: 10.3390/sym10120708

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

Subject Areas

Fixed point theorem, modular uniform convexity, modular vector spaces, Nakano spaces, uniform convexity, variable exponent spaces.

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