Hardy's identities and inequalities on Cartan-Hadamard manifolds

DOI10.1007/s12220-022-01079-8zbMath1505.26031arXiv2103.12788OpenAlexW4309634990MaRDI QIDQ2105905

Guozhen Lu, Joshua Flynn, Saikat Mazumdar, Lam Hoang Nguyen

Publication date: 8 December 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12788

zbMATH Keywords

hyperbolic spaceCartan-Hadamard manifoldHardy inequalitiesHardy identitiesHardy-Poincaré-Sobolev inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities involving derivatives and differential and integral operators (26D10) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (3)

Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space ⋮ Multidimensional Frank–Laptev–Weidl improvement of the hardy inequality ⋮ Some functional properties on Cartan-Hadamard manifolds of very negative curvature

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