Weighted Fourier inequalities for radial functions

Gorbachev, D.; Liflyand, E.; Tichonovič, S. V.

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Date

2009-03-19

MFO Scientific Program

Research in Pairs 2009

Series

Oberwolfach Preprints;2009,26

Author

Gorbachev, D.

Liflyand, E.

Tichonovič, S. V.

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OWP-2009-26

Abstract

Weighted

$L^p(\mathbb{R}^n) \to L^q(\mathbb{R}^n)$ Fourier inequalities are studied. We prove Pitt-Boas type results on integrability with power weights of the Fourier transform of a radial function.

Mathematics Subject Classification (MSC)

42 • 46

DOI

10.14760/OWP-2009-26

Collections

2009

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