报告人：陈伯勇教授

             复旦大学9001cc金沙

题目：Weighted Bergman kernel, directional Lelong number and John-Nirenberg exponent

时间：2018年07月05日下午15:00

地点：海韵教学楼306

摘要：Let $\psi$ be a plurisubharmonic function on the closed unit ball and $K_{t\psi}(z)$ the Bergman kernel on the unit ball with respect to the weight $t\psi$.  We show that the boundary behavior of $K_{t\psi}(z)$ is determined by certain directional Lelong numbers of $\psi$ for all $t$ smaller than the John-Nirenberg exponent of $\psi$ associated to certain family of nonisotropic balls, which is always positive.

报告人简介：陈伯勇，复旦大学9001cc金沙教授，博士生导师。主要研究方向为：多复变与复几何。在 方程的L^2理论和Bergmann核函数理论的研究中取得重要成果，发表在Adv. Math., Math. Ann.等刊物上。

联系人：邱春晖教授

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