Estimation of Weak (1,1) Norms of Center Maximal Functions on Heisenberg Type Groups with Respect to Dimensions

Title: Estimation of Weak (1,1) Norms of Center Maximal Functions on Heisenberg Type Groups with Respect to Dimensions

Speaker: Li Hongquan (Fudan University)

Time: 2023-04-20 9:50-10:50

Location: Room 203, Building 2, Hainayuan, Zijingang Campus

Abstract: Consider the central maximum function M defined by Koranyi norm on the Heisenberg type group H (2n, m)_ K. By using the stationary phase method, we demonstrate the existence of a constant C that is independent of dimensionality, making M_ The weak (1,1) norm of K can be controlled by C n. This definitely answers a question left over from Qian Bin TAMS's 2014 article. The corresponding results of the maximum function determined by other distances will also be discussed. This report is based on work with Bi Cheng and Zhang Ye.

Contact Person: Wang Meng (mathdreamcn@zju.edu.cn )