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New bounds for Kakeya problems

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Abstract

We establish new estimates on the Minkowski and Hausdorff dimensions of Kakeya sets and we obtain new bounds on the Kakeya maximal operator.

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Authors and Affiliations

  1. Department of Mathematics, Washington University, 63130, St. Louis, WA, USA

    NetsHawk Katz

  2. Department of Mathematics, UCLA, 90095-1555, Los Angeles, CA, USA

    Terence Tao

Authors
  1. NetsHawk Katz
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  2. Terence Tao
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Correspondence to NetsHawk Katz.

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Katz, N., Tao, T. New bounds for Kakeya problems. J. Anal. Math. 87, 231–263 (2002). https://doi.org/10.1007/BF02868476

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  • DOI: https://doi.org/10.1007/BF02868476

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