191

Date | Sep 19, 2023 |
---|---|

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, $alpha=1-d$.

TEL 02-880-5857,6530,6531 / FAX 02-887-4694