An extension problem and Hardy's inequality for the fractional Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type
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Publication:2114122
DOI10.1016/j.jfa.2022.109413OpenAlexW4226539332MaRDI QIDQ2114122
Publication date: 15 March 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.08460
Fractional derivatives and integrals (26A33) Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)
Cites Work
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- Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
- Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space
- Hardy inequalities on Riemannian manifolds and applications
- Some constructions for the fractional Laplacian on noncompact manifolds
- Sobolev inequalities on Lie groups and symmetric spaces
- Sharp constants in the Hardy-Rellich inequalities
- \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
- Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
- Almost everywhere convergence of Riesz means on certain noncompact symmetric spaces
- The Kunze-Stein phenomenon
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- \(L^ p\)-\(L^ q\) estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I
- Hardy inequalities on non-compact Riemannian manifolds
- Sharp uncertainty principles on Riemannian manifolds: the influence of curvature
- Heat kernel and Green function estimates on noncompact symmetric spaces
- Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups
- On extension problem, trace Hardy and Hardy's inequalities for some fractional Laplacians
- Hardy and uncertainty inequalities on stratified Lie groups
- The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three-dimensional upper half space
- Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
- A New Family of Sharp Conformally Invariant Integral Inequalities
- Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- On boundary value problems for some conformally invariant differential operators
- On a semilinear elliptic equation in Hn
- Classical Fourier Analysis
- Improved Hardy and Rellich inequalities on Riemannian manifolds
- Pitt's Inequality and the Uncertainty Principle
- Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions
- An Extension Problem and Trace Hardy Inequality for the Sub-Laplacian on H-type Groups
- Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces
- Fourier and Radon transform on harmonic 𝑁𝐴 groups
- HARDY INEQUALITIES ON RIEMANNIAN MANIFOLDS WITH NEGATIVE CURVATURE
- An Extension Problem Related to the Fractional Laplacian
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