Almost compact embeddings between Orlicz and Lorentz spaces
Functional Analysis
2024-10-04 v1
Abstract
We characterize when an Orlicz space is almost compactly (uniformly absolutely continuously) embedded into a Lorentz space in terms of a balance condition involving parameters , and a Young function . 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.
Cite
@article{arxiv.2410.02495,
title = {Almost compact embeddings between Orlicz and Lorentz spaces},
author = {Vít Musil and Luboš Pick and Jakub Takáč},
journal= {arXiv preprint arXiv:2410.02495},
year = {2024}
}