Date | 2022-08-02 |
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Speaker | 김종천 |

Dept. | City University of Hong Kong |

Room | 27-220 |

Time | 16:00-18:00 |

Any set containing a sphere centered at every point cannot have 0 Lebesgue measure. This is a consequence of the L^p boundedness of the spherical maximal function. On the other hand, there exist sets of 0 Lebesgue measure which contain a large family of spheres, which may be considered as Kakeya/Nikodym sets for spheres. We will discuss such sets and their Hausdorff dimension, and related estimates for maximal functions associated with spheres.

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