Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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.

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

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