Pitt inequalities and restriction theorems for the Fourier transform
classification
🧮 math.FA
keywords
fourierinequalitiestransformpittproverestrictionestimatesnon-radial
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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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