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Spherical means and pinned distance sets
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We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.
Abstract
We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.
참고문헌 (6)
- T. Mitsis, "Spherical means and measures with finite energy", Colloq. Math, 114(1), pp.9~13 (2009)
- D. Oberlin, "Restricted Radon transforms and projections of planar sets", Canad. Math. Bull, 55(4), pp.815~820 (2012)
- D. Oberlin, "Packing spheres and fractal Strichartz estimates in Rd for d 3", Proc. Amer. Math. Soc, 11, pp.3201~3209 (2006)
- D. Oberlin, "Unions of hyperplanes, unions of spheres, and some related estimates", Illinois J. Math, 51(4), pp.1265~1274 (2007)
- Y. Peres, "Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions", Duke Math. J, 102(2), pp.193~251 (2000)
- T. Wolff, "Local smoothing type estimates on Lp for large p", Geom. Funct. Anal, 10(5), pp.1237~1288 (2000)
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