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Date | 2023-09-19 |
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Speaker | 이주영 |

Dept. | 서울대학교 |

Room | 27-116 |

Time | 16:00-17:00 |

Weighted inequality on the Hardy-Littlewood maximal function is completely understood while it is not well understood for the spherical maximal function. For the power weight $|x|^{alpha}$, it is known that the spherical maximal operator on $R^d$ is bounded on $L^p(|x|^{alpha})$ only if $1-dleq alpha<(d-1)(p-1)-1$ and under this condition, it is known to be bounded except $alpha=1-d$. In this paper, we prove the case of the critical order, $alpha=1-d$.

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