Pointwise inequalities for Sobolev functions on outward cuspidal domains
Functional Analysis
2021-01-29 v1
Abstract
We show that the first order Sobolev spaces on cuspidal symmetric domains can be characterized via pointwise inequalities. In particular, they coincide with the Hajlasz-Sobolev spaces.
Cite
@article{arxiv.1912.04555,
title = {Pointwise inequalities for Sobolev functions on outward cuspidal domains},
author = {Sylvester Eriksson-Bique and Pekka Koskela and Jan Maly and Zheng Zhu},
journal= {arXiv preprint arXiv:1912.04555},
year = {2021}
}