Abstract
© 2017 European Mathematical Society. We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using weighted restriction inequalities for the Fourier transform on the sphere. We also prove new Riemann-Lebesgue estimates and versions of the uncertainty principle for the Fourier transform.
Original language | English |
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Pages (from-to) | 789-808 |
Journal | Revista Matematica Iberoamericana |
Volume | 33 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jan 2017 |
Keywords
- Pitt inequalities
- Restriction theorems
- Riemann-Lebesgue estimate
- Uncertainty principle
- Weights