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arXiv · 2410.02495

Almost compact embeddings between Orlicz and Lorentz spaces

Vít Musil·Luboš Pick·Jakub Takáč
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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.

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Vít Musil, Luboš Pick, Jakub Takáč. 2024-10-03. Almost compact embeddings between Orlicz and Lorentz spaces. https://arxiv.org/abs/2410.02495

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