2025-06-24 2024, Volume 8 Issue 2

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  • Shaoming Guo , Changkeun Oh , Hong Wang , Shukun Wu , Ruixiang Zhang

    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.