Some Hardy and Rellich type inequalities for affine connections
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917581175128064 |
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| author | Wang, Pengyan Chang, Huiting |
| author_facet | Wang, Pengyan Chang, Huiting |
| contents | 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-Poincaré inequality and the Heisenberg-Pauli-Weyl inequality. Our results improve and include many previously known results as special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01101 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some Hardy and Rellich type inequalities for affine connections Wang, Pengyan Chang, Huiting Analysis of PDEs 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-Poincaré inequality and the Heisenberg-Pauli-Weyl inequality. Our results improve and include many previously known results as special cases. |
| title | Some Hardy and Rellich type inequalities for affine connections |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.01101 |