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Two estimates for curves in the plane
Authors:Daniel M Oberlin
Institution:Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
Abstract:We obtain a Fourier transform estimate and an $L^{3/2}({\mathbb{R}}^{2}) -L^{3}({\mathbb{R}}^{2})$ convolution estimate for certain measures on a class of convex curves in the plane.

Keywords:Fourier transform  convolution
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