Removable Sets for Weighted Orlicz-Sobolev Spaces

Authors

Nijjwal Karak, Indian Statistical Institute Chennai

Article Type

Research Article

Publication Title

Computational Methods and Function Theory

Abstract

In this paper, we provide a concrete criterion for sets lying in a hyperplane to be removable for weighted Orlicz–Sobolev spaces. We define porous sets and show that the porous sets lying in a hyperplane are removable; this is a generalization of the results in Karak (Potential Anal 43(4):675–694, 2015), Futamura and Mizuta (Hiroshima Math J 33:43–57, 2003).

First Page

473

Last Page

486

DOI

10.1007/s40315-019-00283-y

Publication Date

9-1-2019

Comments

Open Access, Green

Recommended Citation

Karak, Nijjwal, "Removable Sets for Weighted Orlicz-Sobolev Spaces" (2019). Journal Articles. 722.
https://digitalcommons.isical.ac.in/journal-articles/722