On the structure of variable exponent spaces
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2019
- DOI:
- 10.48550/arXiv.1911.03613
- arXiv:
- arXiv:1911.03613
- Bibcode:
- 2019arXiv191103613F
- Keywords:
-
- Mathematics - Functional Analysis;
- 46E30;
- 47B60