报告题目：A Note on Non-tangential Convergence for Schr\{o}dinger Operators

报告人：李文娟副教授（西北工业大学）

报告时间：2021年5月21日周五上午9:30-10:30

腾讯会议 ID：526 573 737 会议密码：202105

报告摘要：The goal of this note is to establish non-tangential convergence results  for Schr\{o}dinger operators along restricted curves. We consider the relationship between the dimension of this kind of approach region and  the regularity for the initial data which implies convergence. As a consequence, we obtain an upper bound for $p$ such that the Schr\{o}dinger maximal function is bounded from $H^{s}(\mathbb{R}^{n})$ to $L^{p}(\mathbb{R}^{n})$ for any $s > \frac{n}{2(n+1)}$. This is joint work with Dr. Huiju Wang and Prof. Dunyan Yan.