Pitt inequalities and restriction theorems for the Fourier transform

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Title:	Pitt inequalities and restriction theorems for the Fourier transform
Author:	De, Carli; Gorbachev, D.; Tikhonov, S.
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. © 2017 European Mathematical Society.
Publication date:	2017-01-01
Subject(s):	51
Pages:	20 p.
Document type:	Article Article - Published version
DOI:	10.4171/rmi/955
Published by:	European Mathematical Society Publishing House
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