Two estimates for curves in the plane

Daniel M. Oberlin

Type: Article

Publication Date: 2004-06-16

Citations: 10

DOI: https://doi.org/10.1090/s0002-9939-04-07610-5

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.

Locations

Proceedings of the American Mathematical Society - View - PDF

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