Application of a Fourier restriction theorem to certain families of projections in R^3

Abstract

We use a restriction theorem for Fourier transforms of fractal measures to study projections onto families of planes in R^3 whose normal directions form nondegenerate curves.

arXiv admin note: text overlap with arXiv:1009.5366

References in corpus (1)

• On restricted families of projections in R^3

Cited by in corpus (9)

• On restricted families of projections in R^3
• A Marstrand-type restricted projection theorem in ${\mathbb{R}}^3$
• Improved bounds for restricted projection families via weighted Fourier restriction
• Dimension Distortion by Right Coset Projections in the Heisenberg Group
• Hausdorff dimension estimates for restricted families of projections in ${\mathbb{R}}^3$
• Restricted families of projections onto planes: The general case of nonvanishing geodesic curvature
• Refined Strichartz inequalities for the wave equation
• An $L^{4/3}$ $S{L}_2$ Kakeya maximal inequality
• A Fubini-type theorem for Hausdorff dimension