\(L^p\)-Hardy-Rellich and uncertainty principle inequalities on the sphere

DOI10.15352/aot.1712-1282zbMath1400.26035OpenAlexW2802811455MaRDI QIDQ1790511

Timothy Apata, Abimbola Abolarinwa

Publication date: 2 October 2018

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aot/1525917618

zbMATH Keywords

uncertainty principlegeodesic spherecompact manifoldHardy inequalitiesRellich inequalities

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Weighted Hardy and Rellich types inequalities on the Heisenberg group with sharp constants ⋮ Optimal L^p Hardy-Rellich type inequalities on the sphere ⋮ Generalised Hardy type and Rellich type inequalities on the Heisenberg group ⋮ Sharp L^p Hardy type and uncertainty principle inequalities on the sphere ⋮ Gradient estimates for a weighted nonlinear parabolic equation and applications ⋮ On the spectrum of the \(p\)-biharmonic operator under the Ricci flow ⋮ On the spectrum of the weighted \(p\)-Laplacian under the Ricci-harmonic flow ⋮ A sharp Rellich inequality on the sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hardy-Rellich inequality and uncertainty principle on the sphere
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• The uncertainty principle: A mathematical survey
• Hardy inequalities on non-compact Riemannian manifolds
• Explicit constants for Rellich inequalities in \(L_p(\Omega)\)
• Uncertainty principles and asymptotic behavior.
• Uncertainty principles on certain Lie groups
• Improved \(L^p\)-Poincaré inequalities on the hyperbolic space
• Hardy type inequalities on the sphere
• Best constants in the Hardy-Rellich type inequalities on the Heisenberg group
• Weighted Hardy inequality with higher dimensional singularity on the boundary
• Nonstationary wavelets on the \(m\)-sphere for scattered data
• Some Hardy inequalities on the sphere
• Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Improved Hardy and Rellich inequalities on Riemannian manifolds
• HARDY INEQUALITIES ON RIEMANNIAN MANIFOLDS WITH NEGATIVE CURVATURE
• Weighted Hardy and Rellich type inequalities on Riemannian manifolds
• Riemannian geometry