[KSCI] Korea Science Citation Index Service

Oberlin, Daniel (Department of Mathematics Florida State University)
Oberlin, Richard (Department of Mathematics Florida State University)

Publication Information

Abstract

We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.

Keywords

spherical averaging operator; Hausdorff dimension; pinned distance set;

Citations & Related Records

1	T. Mitsis, Spherical means and measures with finite energy, Colloq. Math. 114 (2009), no. 1, 9-13. DOI
2	D. Oberlin, Restricted Radon transforms and projections of planar sets, Canad. Math. Bull. 55 (2012), no. 4, 815-820. DOI
3	D. Oberlin, Packing spheres and fractal Strichartz estimates in ${\mathbb{R}^d}$ for $d{\succeq}3$ , Proc. Amer. Math. Soc. 134 (2006), no. 11, 3201-3209. DOI ScienceOn
4	D. Oberlin, Unions of hyperplanes, unions of spheres, and some related estimates, Illinois J. Math. 51 (2007), no. 4, 1265-1274.
5	Y. Peres and W. Schlag, Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions, Duke Math. J. 102 (2000), no. 2, 193-251. DOI
6	T.Wolff, Local smoothing type estimates on $L^p$ for large p, Geom. Funct. Anal. 10 (2000), no. 5, 1237-1288. DOI