Weighted Fourier inequalities for radial functions

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Date
2009-03-19MFO Scientific Program
Research in Pairs 2009Series
Oberwolfach Preprints;2009,26Author
Gorbachev, D.
Liflyand, E.
Tichonovič, S. V.
Metadata
Show full item recordOWP-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.