Removable sets for Orlicz-Sobolev spaces

2014/08/25 by Nijjwal Karak, Karak, Nijjwal
Mathematics · #46E35 #Advanced Harmonic Analysis Research #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #math.FA #msc:46E35

paper · pdf · doi:10.48550/arxiv.1408.5716

23 pages, 5 figures

arxiv created 2014/08/25 · openalex publication_date 2014/08/25 · arxiv updated 2014/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Quasiconformal maps in metric spaces with controlled geometry

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