Some Hardy and Rellich type inequalities for affine connections
Analysis of PDEs
2024-02-05 v1
Abstract
In this article we study various forms of the Hardy inequality for affine connections on a complete noncompact Riemannian manifold, including the two-weight Hardy inequality, the improved Hardy inequality, the Rellich inequality, the Hardy-Poincar\'{e} inequality and the Heisenberg-Pauli-Weyl inequality. Our results improve and include many previously known results as special cases.
Keywords
Cite
@article{arxiv.2402.01101,
title = {Some Hardy and Rellich type inequalities for affine connections},
author = {Pengyan Wang and Huiting Chang},
journal= {arXiv preprint arXiv:2402.01101},
year = {2024}
}
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36 pages