Preprint
Article
Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability
This version is not peer-reviewed.
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
Keywords:
Fixed point theorem
; modular uniform convexity
; modular vector spaces
; Nakano spaces
; uniform convexity
; variable exponent spaces.
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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