勷勤数学•专家报告

题      目：Balayage for the weighted Bergman Spaces

报  告  人：段永江  教授  (邀请人：黄志波)

                                  暨南大学

时      间：10月11日  16：30-17：30

地     点：数科院西楼二楼会议室

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青年项目一项，面上项目两项，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。

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.

       欢迎老师、同学们参加、交流！