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The Bochner-Riesz problem: an old approach revisited

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 نشر من قبل Hong Wang
 تاريخ النشر 2021
  مجال البحث
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We show that the recent techniques developed to study the Fourier restriction problem apply equally well to the Bochner-Riesz problem. This is achieved via applying a pseudo-conformal transformation and a two-parameter induction-on-scales argument. As a consequence, we improve the Bochner-Riesz problem to the best known range of the Fourier restriction problem in all high dimensions.



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