Informace o publikaci
Almost compact embeddings between Orlicz and Lorentz spaces
| Autoři | |
|---|---|
| Rok publikování | 2025 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Functional Analysis |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | Sciencedirect |
| Doi | https://doi.org/10.1016/j.jfa.2025.110859 |
| Klíčová slova | Almost compact (uniformly absolutely continuously) embedding; Orlicz space; Lorentz space; Sobolev embeddings |
| Popis | 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 is an element of [1, infinity], 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. |