Modular Geometric Properties in Variable Exponent Spaces

Mohamed A. Khamsi, Osvaldo D. Méndez and Simeon Reich
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Mohamed A. Khamsi: Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi P.O. Box 127788, United Arab Emirates
Osvaldo D. Méndez: Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968, USA
Simeon Reich: Department of Mathematics, The Technion-Israel Institute of Technology, Haifa 3200003, Israel

Mathematics, 2022, vol. 10, issue 14, 1-18

Abstract: Much has been written on variable exponent spaces in recent years. Most of the literature deals with the normed space structure of such spaces. However, because of the variability of the exponent, the underlying modular structure of these spaces is radically different from that induced by the norm. In this article, we focus our attention on the progress made toward the study of the modular structure of the sequence Lebesgue spaces of variable exponents. In particular, we present a survey of the state of the art regarding modular geometric properties in variable exponent spaces.

Keywords: electrorheological fluid; fixed point; modular vector space; Nakano modular; strictly convex; uniformly convex modular (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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