Almost compact embeddings between Orlicz and Lorentz spaces

2024/10/03 by Musil, Vít, Pick, Luboš, Takáč, Jakub · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2410.02495

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∈[1,∞], 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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• Uniform decay of function norms

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