Reverse integral Hardy inequality on metric measure spaces
Analysis of PDEs
2019-11-27 v1
Abstract
In this note, we obtain a reverse version of the integral Hardy inequality on metric measure spaces. Moreover, we give necessary and sufficient conditions for the weighted reverse Hardy inequality to be true. The main tool in our proof is a continuous version of the reverse Minkowski inequality. Also, we present some consequences of the obtained reverse Hardy inequality on the homogeneous groups, hyperbolic spaces and Cartan-Hadamard manifolds.
Keywords
Cite
@article{arxiv.1911.11187,
title = {Reverse integral Hardy inequality on metric measure spaces},
author = {Aidyn Kassymov and Michael Ruzhansky and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:1911.11187},
year = {2019}
}
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23 pages