Composition operators in Orlicz-Sobolev spaces
Functional Analysis
2025-05-15 v1
Abstract
The continuity of the Nemytskii operator between Orlicz-Sobolev spaces is investigated. Natural Orlicz-Sobolev versions of classical results for standard Sobolev are established. The results presented not only extend the latter, but also improve them in borderline situations. Anisotropic Orlicz-Sobolev spaces are included in our analysis. The results offered for this class of spaces are new even for customary anisotropic Sobolev spaces.
Cite
@article{arxiv.2505.09182,
title = {Composition operators in Orlicz-Sobolev spaces},
author = {Michał Borowski and Andrea Cianchi},
journal= {arXiv preprint arXiv:2505.09182},
year = {2025}
}