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Date | 2024-04-16 |
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Speaker | 이주영 |

Dept. | 서울대학교 |

Room | 27-116 |

Time | 16:00-18:00 |

We review the recent paper "A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem" by Shengwen Gan and Shukun Wu. They obtained a weighted $l^p$-decoupling inequality when $p=2n/(n-1)$. Precisely, they restricted the domain in a smaller set and obtained a smaller decoupling constant. The authors obtained a sharp estimate when $n=2$, and some partial results when $ngeq 3$. As an application, we will see how this refined decoupling inequality gives an improvement on the maximal Bochner-Riesz problem.

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