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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