报告题目：Balayage for the weighed Bergman spaces

报 告 人：段永江 教授（东北师范大学）

报告时间：2024年6月24日（星期一）10:00-11:00

报告地点：数学院115（大报告厅）

校内联系人：杨义新 教授    联系电话：84708354

报告摘要：Given a finite complex Borel measure \mu on the unit disk, the Balayage of \mu is a notion that is in some sense dual to the Poisson transform, which is very important in the theory of Hardy space. As the counterpart of the Poisson transform, the Berezin transform also play an important role in the theory of Bergman spaces, and one can also define the Bergman space version of the balayage. In this talk, we study the properties of the Balayage for the weighed Bergman spaces induced by doubling radial weights, and also give some description of its relationship with the Berezin transform.  

报告人简介：段永江，东北师范大学数学与统计学院教授，博士生导师。主要研究函数空间上的算子理论及相关的分析领域。主持国家自然科学基金项目三项，主要结果发表在Adv. Math.,  J. Geom. Anal., J. Operator theory,  Potential Anal.,  Studia Math.  Science China Math.等知名数学杂志。