Pitt inequalities and restriction theorems for the Fourier transform
Functional Analysis
2015-09-04 v1
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.
Keywords
Cite
@article{arxiv.1509.01210,
title = {Pitt inequalities and restriction theorems for the Fourier transform},
author = {Laura De Carli and Dmitriy Gorbachev and Sergey Tikhonov},
journal= {arXiv preprint arXiv:1509.01210},
year = {2015}
}