English

A density result for homogeneous Sobolev spaces

Functional Analysis 2018-03-26 v1 Classical Analysis and ODEs

Abstract

We show that in a bounded Gromov hyperbolic domain Ω\Omega smooth functions with bounded derivatives C(Ω)Wk,(Ω)C^\infty(\Omega)\cap W^{k,\infty}(\Omega) are dense in the homogeneous Sobolev spaces Lk,p(Ω)L^{k,p}(\Omega).

Keywords

Cite

@article{arxiv.1803.08715,
  title  = {A density result for homogeneous Sobolev spaces},
  author = {Debanjan Nandi},
  journal= {arXiv preprint arXiv:1803.08715},
  year   = {2018}
}

Comments

30 pages

R2 v1 2026-06-23T01:02:47.652Z