广义Lorentz-Zygmund空间的最优Sobolev嵌入
泛函分析
2026-05-25 v3
摘要
本工作研究在满足最小正则性假设的欧氏域上,广义Lorentz-Zygmund-Sobolev空间的任意整数阶嵌入。给出了显式的重排不变、Hölder、Morrey和Campanato最优目标空间。
引用
@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}
}
备注
45 pages, Some results are added. There are some changes, mostly in the introduction