Improved higher order Poincaré inequalities on the hyperbolic space via Hardy-type remainder terms
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Publication:324056
DOI10.3934/cpaa.2016020zbMath1350.26025arXiv1511.00474OpenAlexW2964318533MaRDI QIDQ324056
Debdip Ganguly, Elvise Berchio
Publication date: 10 October 2016
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.00474
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Potential theory on Riemannian manifolds and other spaces (31C12)
Related Items (14)
Improved \(L^p\)-Poincaré inequalities on the hyperbolic space ⋮ Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs ⋮ A subset of Caffarelli-Kohn-Nirenberg inequalities in the hyperbolic space \(\mathbb {H}^N\) ⋮ Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space ⋮ On some strong Poincaré inequalities on Riemannian models and their improvements ⋮ Improved Caffarelli-Kohn-Nirenberg inequalities in unit ball and sharp constants in dimension three ⋮ An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds ⋮ The sharp Poincaré-Sobolev type inequalities in the hyperbolic spaces \(\mathbb{H}^n\) ⋮ New sharp Hardy and Rellich type inequalities on Cartan–Hadamard manifolds and their improvements ⋮ Improved multipolar Poincaré-Hardy inequalities on Cartan-Hadamard manifolds ⋮ On higher order Poincaré inequalities with radial derivatives and Hardy improvements on the hyperbolic space ⋮ Hardy-Sobolev-Maz'ya inequalities for polyharmonic operators ⋮ Second order Sobolev type inequalities in the hyperbolic spaces ⋮ Sharp constant for Poincaré-type inequalities in the hyperbolic space
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