The Khavinson conjecture and the Schwarz-Pick inequality for harmonic functions
主 讲 人 :刘聪文 教授
活动时间:06月25日14时30分
地 点 :腾讯会议ID: 244 626 069
讲座内容:
In this talk, we present a proof of the Khavinson conjecture whichstates that, for bounded harmonic functions on the unit ball of R^n, the sharp constants in the estimates for their radialderivatives and for their gradients coincide. As a consequence, we alsoestablish an inequality of Schwarz-Pick type for harmonic functions on the unitball of R^n.
主讲人介绍:
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. 等国内外期刊上发表论文二十余篇。