##### Department of Mathematics,

University of California San Diego

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### Analysis Seminar (Math-248)

## Prof. Song-Ying Li

#### UC Irvine

## Sup-norm Estimates for $\bar{d}$ and Corona Problems

##### Abstract:

In this talk, we will present the development of Corona problem in sereval complex variables and discuss its relation to the solution of the sup-norm estimates for the Cauchy-Riemann equations. It includes the Berndtsson conjecture and its application to Corona problem. As well as the application of the H\"ormander weighted $L^2$-estimates for $\overline{\partial}$ to the corona problem.

Hosts: Peter Ebenfelt and Ming Xiao

### February 16, 2024

### 3:00 PM

APM 7218

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