Modular Geometric Properties in Variable Exponent Spaces

Mohamed A. Khamsi, Osvaldo D. Méndez, Simeon Reich

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageBritish English
Article number2509
JournalMathematics
Volume10
Issue number14
DOIs
StatePublished - Jul 2022

Keywords

  • electrorheological fluid
  • fixed point
  • modular vector space
  • Nakano modular
  • strictly convex
  • uniformly convex modular

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