On a class of sharp multiplicative Hardy inequalities

DOI10.1090/spmj/1659zbMath1472.35013OpenAlexW3163426328MaRDI QIDQ4989686

Dorian Guzu, Thomas Hoffmann-Ostenhof, A. A. Laptev

Publication date: 26 May 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1659

zbMATH Keywords

Hardy inequalitiesSchrödinger operators on a sphere

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on manifolds (35R01)

Cites Work

• On Caffarelli-Kohn-Nirenberg inequalities for block-radial functions
• Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates
• Hardy inequalities with homogeneous weights
• Optimal Hardy inequalities for Schrödinger operators on graphs
• Spectral estimates on the sphere
• Theory of multipliers in spaces of differentiable functions
• The Stability of Matter in Quantum Mechanics
• On the number of negative eigenvalues of Schrödinger operators with an Aharonov–Bohm magnetic field
• Magnetic rings
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