Date | 2024-09-24 |
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Speaker | 유재현 |
Dept. | 고등과학원 |
Room | 27-116 |
Time | 16:00-18:00 |
We review the article "On the Korányi spherical maximal function on Heisenberg groups" by Srivastava, which concerns the Lp boundedness of averages over the Korányi sphere in Heisenberg group. In this work, the author established the sharp range of p for which the averages are bounded in Lp. Additionally, they considered a local maximal function for the averages and determined a sharp region of p,q where the maximal functions are bounded from Lp to Lq. The aim of this talk is to outline the proof of the main results with elucidating what obstacles we need to handle to prove them.