Two estimates for curves in the plane

Oberlin, Daniel

doi:10.1090/S0002-9939-04-07610-5

Two estimates for curves in the plane
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by Daniel M. Oberlin PDF

Proc. Amer. Math. Soc. 132 (2004), 3195-3201 Request permission

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.

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