Browsing 2009 by Title
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Weighted Fourier inequalities for radial functions
[OWP-2009-26] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-19)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.