学术报告:The Khavinson conjecture and the Schwarz-Pick inequality for harmonic functions

报告人:刘聪文(中国科学与技术大学)
日期:2023年9月22日
时间:2023/09/22  09:00-13:00
会议ID:#腾讯会议:621-639-069
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https://meeting.tencent.com/dm/rd2NuvoFrzQI

报告摘要: 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 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,中国科学与技术大学教授,博士生导师。研究方向为:多复变和单复变函数论。已在“Math. Ann.”,“J. Func. Anal.”,“Indiana Univer. Math. J.”等国际著名数学杂志发表学术论文多篇。


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