数学学院学术报告

Analysis Seminar 2021-06-28

报告题目: The Khavinson conjecture and the Schwarz-Pick inequality for harmonic functions

报告人: 刘聪文 （中国科学技术大学）

时间： 2021-06-28 10：00-11：00

地点: 腾讯会议 ID：986 895 335

摘要: In this talk, we present a proof of the Khavinson conjecture which states that, for bounded harmonic functions on the unit ball of $\mathbb{R}^n$, the sharp constants in the estimates for their radial derivatives and for their gradients coincide. As a consequence, we also establish an inequality of Schwarz-Pick type for harmonic functions on the unit ball of $\mathbb{R}^n$.

报告人简介: 刘聪文, 中国科学技术大学数学科学学院教授，主要研究方向是多复分析和算子理论，主持多项国家自然科学基金项目，在 Math. Ann., J. Funct. Anal., Anal. PDE, Int. Math. Res. Not. 等国内外著名期刊上发表论文二十余篇。

邀请人：张安 欢迎大家参加！