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报告人 Prof. Li Song-Ying (加州大学尔湾分校) 地点 致远楼101室
时间 2023年12月15日 10:00-11:00

题目:Sup-Norm Estimates and Berndtsson Conjecture for Cauchy-Riemann Operator

报告人:Prof. Li Song-Ying (加州大学尔湾分校)

地点:致远楼101室

时间:2023年12月15日 10:00-11:00

摘要:In this talk, first, I will give a short survey on the sup-norm estimates for solutions of the Cauchy-Riemann equations. Second, I will present my recent work on the solution of Kerzman's question and the result on sup-norm estimate for the Cauchy-Riemann equation over the product domain Ω^n, whereΩis a bounded domain in the complex plane with C^(1,α) boundary. Third, I will talk about the application of Hormander weighted L^2-estimates for d-bar. In particular, I will present a joint work with Jie Luo on Berndtsson's conjecture and its connection in the Corona problem in several complex variables.

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