Removable sets for Orlicz-Sobolev spaces

Abstract

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

23 pages, 5 figures