The Bochner-Riesz problem: an old approach revisited
Classical Analysis and ODEs
2021-04-23 v1
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.
Cite
@article{arxiv.2104.11188,
title = {The Bochner-Riesz problem: an old approach revisited},
author = {Shaoming Guo and Changkeun Oh and Hong Wang and Shukun Wu and Ruixiang Zhang},
journal= {arXiv preprint arXiv:2104.11188},
year = {2021}
}
Comments
51 pages