On the structure of variable exponent spaces

2019/11/09 by Flores, Julio, Hernández, Francisco L., Ruiz, César +1 · 1 citation
#46E30 #47B60 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1911.03613

Abstract

The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) \lpv. In the second part strictly singular and disjointly strictly singular operators between spaces \lpv are studied. New results on the disjoint strict singularity of the inclusions L^p(⋅)(Ω) \hookrightarrow L^q(⋅)(Ω) are given.

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