On the structure of variable exponent spaces
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2020
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Elsevier
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Flores, J., Hernández, F.L., Ruiz, C., Sanchiz, M. On the structure of variable exponent spaces. Indagationes Mathematicae. 2020 Sept ; 31 (5): 831–841.
Abstract
The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) L p(·)(Ω ). In the second part strictly singular and disjointly strictly singular operators between spaces L p(·)(Ω ) are studied. New results on the disjoint strict singularity of the inclusions L p(·)(Ω ) ↪→ Lq(·)(Ω ) are given.