DOI QR코드

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SPHERICAL MEANS AND PINNED DISTANCE SETS

  • 투고 : 2014.11.14
  • 발행 : 2015.01.31

초록

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

키워드

참고문헌

  1. T. Mitsis, Spherical means and measures with finite energy, Colloq. Math. 114 (2009), no. 1, 9-13. https://doi.org/10.4064/cm114-1-2
  2. D. Oberlin, Restricted Radon transforms and projections of planar sets, Canad. Math. Bull. 55 (2012), no. 4, 815-820. https://doi.org/10.4153/CMB-2011-064-6
  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. https://doi.org/10.1090/S0002-9939-06-08356-0
  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. https://doi.org/10.1215/S0012-7094-00-10222-0
  6. T.Wolff, Local smoothing type estimates on $L^p$ for large p, Geom. Funct. Anal. 10 (2000), no. 5, 1237-1288. https://doi.org/10.1007/PL00001652

피인용 문헌

  1. An L2-identity and pinned distance problem pp.1420-8970, 2019, https://doi.org/10.1007/s00039-019-00482-8