The Bochner–Riesz Problem: An Old Approach Revisited

Author(s)
Guo, Shaoming; Oh, Changkeun; Wang, Hong; Wu, Shukun; Zhang, Ruixiang
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Abstract
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.
Date issued
2024-02-20
URI
https://hdl.handle.net/1721.1/159350
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Peking Mathematical Journal
Publisher
Springer Nature Singapore
Citation
Guo, S., Oh, C., Wang, H. et al. The Bochner–Riesz Problem: An Old Approach Revisited. Peking Math J 8, 201–270 (2025).
Version: Author's final manuscript
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