Kakeya–Brascamp–Lieb inequalities

Abstract

We prove a sharp common generalization of endpoint multilinear Kakeya and local discrete Brascamp–Lieb inequalities.

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Acknowledgements

The extension of Theorem 1.3 beyond the scale-invariant case (1.9) is motivated by ongoing joint work with Shaoming Guo and Ruixiang Zhang. This work was partially supported by the Hausdorff Center for Mathematics (DFG EXC 2047). I thank the anonymous referees for numerous corrections and helpful suggestions pertaining to exposition.

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Correspondence to Pavel Zorin-Kranich.

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Zorin-Kranich, P. Kakeya–Brascamp–Lieb inequalities. Collect. Math. 71, 471–492 (2020). https://doi.org/10.1007/s13348-019-00273-2

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Mathematics Subject Classification

  • Primary 26D15
  • Secondary 42B99
  • 52C07