The Bochner–Riesz Problem: An Old Approach Revisited
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Author(s)
Guo, Shaoming
Oh, Changkeun
Wang, Hong
Wu, Shukun
Zhang, Ruixiang
Date Issued
February 20, 2024
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s42543-023-00082-4
