Publication details
Almost compact embeddings between Orlicz and Lorentz spaces
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Functional Analysis |
| MU Faculty or unit | |
| Citation | |
| web | Sciencedirect |
| Doi | https://doi.org/10.1016/j.jfa.2025.110859 |
| Keywords | Almost compact (uniformly absolutely continuously) embedding; Orlicz space; Lorentz space; Sobolev embeddings |
| Description | 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. |