English

Removable sets for Orlicz-Sobolev spaces

Functional Analysis 2014-08-26 v1

Abstract

We study removable sets for the Orlicz-Sobolev space W1,Ψ,W^{1,\Psi}, for functions of the form Ψ(t)=tplogλ(e+t).\Psi(t)=t^p\log^{\lambda}(e+t). We show that (p,λ)(p,\lambda)-porous sets lying in a hyperplane are removable and that this result is essentially sharp.

Keywords

Cite

@article{arxiv.1408.5716,
  title  = {Removable sets for Orlicz-Sobolev spaces},
  author = {Nijjwal Karak},
  journal= {arXiv preprint arXiv:1408.5716},
  year   = {2014}
}

Comments

23 pages, 5 figures

R2 v1 2026-06-22T05:38:28.522Z