Speaker：Zengjian Lou（Shantou University）

Time：2022-06-21, 09:00

Location：Tencent Meeting ID：322-176-199（No Password）

Abstract:

In this talk, we provide a new characterization for Carleson measures in terms of the Lp(Sn) norms of certain functions in admissible approach regions on the unit ball of Cn. The result generalized the corresponding result by Wu on the unit disk. Some of the tools used in the proof for one dimensional case are not available for higher dimensions, such as Calderon-Zygmund decomposition. Our approach involves a duality argument and maximal functions of Lp(Sn) functions on the unit ball of Cn. We also show some applications of our main results to Riemann - Stieltjes integral operators.