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arXiv · 1911.03613

On the structure of variable exponent spaces

Julio Flores·Francisco L. Hernández·César Ruiz·Mauro Sanchiz
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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(\cdot)}(\Omega) \hookrightarrow L^{q(\cdot)}(\Omega)$ are given.

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Julio Flores, Francisco L. Hernández, César Ruiz, Mauro Sanchiz. 2019-11-09. On the structure of variable exponent spaces. https://doi.org/10.1016/j.indag.2020.02.001

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