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发表时间:2019-09-27 阅读次数:169次
报告题目: An application of random operator theory: Bernstein-type inequalities
报 告 人:方向 教授
报告人所在单位:台湾中央大学
报告日期:2019-09-27 星期五
报告时间:10:00 -11:00
报告地点:光华东主楼1403
  
报告摘要:

An example of the Bernstein-type inequalities we will discuss is the following: For a polynomial $p(z)=c_0+c_1z+\cdots c_n z^n$ of degree $n$, the following reverse-Holder inequality holds for Hardy-norms, $$||p||_{H^{\frac{3}{2}}(\mathbb{D})} \ge \frac{C}{\sqrt[6]{n}} ||p||_{H^{{2}}(\mathbb{D})},$$ where the power $\frac{1}{6}$ is optimal. This is a deterministic result, and we derive it with probabilistic methods during our investigation of random operator theory on the Bergman space.

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本年度学院报告总序号:204

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