English

A density result on Orlicz-Sobolev spaces in the plane

Functional Analysis 2018-07-17 v1 Classical Analysis and ODEs

Abstract

We show the density of smooth Sobolev functions Wk,(Ω)C(Ω)W^{k,\infty}(\Omega)\cap C^\infty(\Omega) in the Orlicz-Sobolev spaces Lk,Ψ(Ω)L^{k,\Psi}(\Omega) for bounded simply connected planar domains Ω\Omega and doubling Young functions Ψ\Psi.

Keywords

Cite

@article{arxiv.1807.05349,
  title  = {A density result on Orlicz-Sobolev spaces in the plane},
  author = {Walter A. Ortiz and Tapio Rajala},
  journal= {arXiv preprint arXiv:1807.05349},
  year   = {2018}
}

Comments

11 pages, 1 figure