Sharp Hardy-type inequalities for non-compact harmonic manifolds and Damek-Ricci spaces
Analysis of PDEs
2023-05-03 v1
Abstract
We show various sharp Hardy-type inequalities for the linear and quasi-linear Laplacian on non-compact harmonic manifolds with a particular focus on the case of Damek-Ricci spaces. Our methods make use of the optimality theory developed by Devyver/Fraas/Pinchover and Devyver/Pinchover and are motivated by corresponding results for hyperbolic spaces by Berchio/Ganguly/Grillo, and Berchio/Ganguly/Grillo/Pinchover.
Cite
@article{arxiv.2305.01288,
title = {Sharp Hardy-type inequalities for non-compact harmonic manifolds and Damek-Ricci spaces},
author = {Florian Fischer and Norbert Peyerimhoff},
journal= {arXiv preprint arXiv:2305.01288},
year = {2023}
}
Comments
34 pages