English

Herz-Sobolev spaces on domains

Functional Analysis 2022-10-25 v3

Abstract

We introduce Herz-Sobolev spaces, which unify and generalize the classical Sobolev spaces. We will give a proof of the Sobolev-type embedding for these function spaces. All these results generalize the classical results on Sobolev spaces. Some remarks on Caffarelli--Kohn--Nirenberg inequality are given.

Keywords

Cite

@article{arxiv.2004.05445,
  title  = {Herz-Sobolev spaces on domains},
  author = {Douadi Drihem},
  journal= {arXiv preprint arXiv:2004.05445},
  year   = {2022}
}

Comments

28 pages

R2 v1 2026-06-23T14:48:06.844Z