Published Paper

Inserted: 3 mar 2026
Last Updated: 11 mar 2026

Journal: Journal of Functional Analysis
Year: 2024
Doi: https://doi.org/10.1016/j.jfa.2025.110859

Abstract:

We characterize when an Orlicz space $L^A$ is almost compactly (uniformly absolutely continuously) embedded into a Lorentz space $L^{p,q}$ in terms of a balance condition involving parameters $p,q\in[1,\infty]$, and a Young function $A$. In the course of the proof, we develop a new method based on an inequality of Young type involving the measure of level sets of a given function.