A Hardy inequality for ultraspherical expansions with an application to the sphere
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Publication:1746598
DOI10.1007/s00041-017-9531-0zbMath1387.42030arXiv1703.03232OpenAlexW2592632759MaRDI QIDQ1746598
Óscar Ciaurri, Alberto Arenas, Edgar Labarga
Publication date: 25 April 2018
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.03232
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (3)
Hardy's inequality for the fractional powers of a discrete Laplacian ⋮ The convergence of discrete Fourier-Jacobi series ⋮ A weighted transplantation theorem for Jacobi coefficients
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Cites Work
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- Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- A choice of Sobolev spaces associated with ultraspherical expansions
- Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\)
- Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
- The Helgason Fourier transform for compact Riemannian symmetric spaces of rank one
- Sharp constants in the Hardy-Rellich inequalities
- Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
- Pitt's Inequality and the Uncertainty Principle
- Sharp Inequalities, the Functional Determinant, and the Complementary Series
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Hardy-Type Inequalities for Fractional Powers of the Dunkl–Hermite Operator
- Pitt's inequality with sharp convolution estimates
- Classical Expansions and Their Relation to Conjugate Harmonic Functions
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