中文

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。

关键词

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