Stability of the Brascamp–lieb Constant and Applications

نویسندگان

  • JONATHAN BENNETT
  • SANGHYUK LEE
چکیده

We prove that the best constant in the general Brascamp–Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain very general Fourier restriction, Kakeya-type, and nonlinear variants of the Brascamp–Lieb inequality which have arisen recently in harmonic analysis.

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تاریخ انتشار 2016