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.