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arXiv · 1509.01210

Pitt inequalities and restriction theorems for the Fourier transform

Laura De Carli·Dmitriy Gorbachev·Sergey Tikhonov
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Abstract

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.

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Laura De Carli, Dmitriy Gorbachev, Sergey Tikhonov. 2015-09-03. Pitt inequalities and restriction theorems for the Fourier transform. https://arxiv.org/abs/1509.01210

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