Optimal Sobolev embeddings for generalized Lorentz-Zygmund spaces
Functional Analysis
2026-05-25 v3
Abstract
This work deals with embeddings, of any integer order, for generalized Lorentz-Zygmund-Sobolev spaces on Euclidean domains satisfying minimal regularity assumptions. Explicit rearrangement-invariant, H\"older, Morrey and Campanato optimal target spaces are exhibited.
Keywords
Cite
@article{arxiv.2508.14777,
title = {Optimal Sobolev embeddings for generalized Lorentz-Zygmund spaces},
author = {Paola Cavaliere and Ladislav Drážný},
journal= {arXiv preprint arXiv:2508.14777},
year = {2026}
}
Comments
45 pages, Some results are added. There are some changes, mostly in the introduction