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Packing spheres and fractal Strichartz estimates in for
Authors:Daniel M. Oberlin
Affiliation:Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
Abstract:We prove an estimate for the spherical average operator in $ mathbb{R}^d$ if $ dgeq 3$. This leads to a lower bound for the Hausdorff dimension of unions of certain collections of spheres and to a Strichartz-type estimate for solutions of the wave equation.

Keywords:Spherical averages   Hausdorff dimension   Strichartz estimate
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