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Some Hardy and Rellich type inequalities for affine connections

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… Click to show full 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–Poincaré inequality and the Heisenberg–Pauli–Weyl inequality. Our results improve and include many previously known results as special cases.

Keywords: inequality; rellich type; affine connections; type inequalities; hardy rellich; hardy inequality

Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2024

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