广州数学大讲坛第十一期

第一百零四讲——暨南大学段永江教授学术报告

题目：Balayge for the weighted Bergman spaces

时间：2024年12月25日（周三）下午15：00—17：00

地点：理学实验楼312

报告人：段永江 教授

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. This is joint with J. Hong and K. Zhu.

报告人简介：

段永江，暨南大学数学系教授。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。