Sharp subcritical and critical $L^{p}$ Hardy inequalities on the sphere
Functional Analysis
2020-06-15 v2 Analysis of PDEs
Abstract
We prove sharp inequalities of Hardy type for functions in the Sobolev space on the unit sphere in . We achieve this in both the subcritical and critical cases. The method we use to show optimality takes into account all the constants involved in our inequalities.
Cite
@article{arxiv.2006.05473,
title = {Sharp subcritical and critical $L^{p}$ Hardy inequalities on the sphere},
author = {Ahmed A. Abdelhakim},
journal= {arXiv preprint arXiv:2006.05473},
year = {2020}
}