– Europe/Lisbon
Room P3.10, Mathematics Building
— Online
![Jotsaroop Kaur](https://math.tecnico.ulisboa.pt/seminars/uploads/94/17175961185821_Jotsaroop_Kaur_h180.webp)
Jotsaroop Kaur, Indian Institute of Science Education and Research, Mohali
On Hardy Spaces associated with the Twisted Laplacian and sharp estimates for the corresponding wave operator
We define the atomic Hardy space $H^p_{\mathcal{L},\operatorname{at}}(\mathbb{C}^n)$, $0\lt p≤ 1$, for the twisted Laplacian $\mathcal{L}$ and prove its equivalence with the Hardy space defined using the maximal function corresponding to the heat semigroup $e^{-\mathcal{L}t}$, $t\gt 0$. We also prove sharp $L^p$, $0\lt p≤ 1$, estimates for $\mathcal{L}^{β/2}e^{i\sqrt{\mathcal{L}}}$. More precisely, we prove that it is a bounded operator on $H^p_{\mathcal{L},\operatorname{at}}(\mathbb{C}^n)$ when $β≥(2n-1)(1/p-1/2)$.