Date | 2023-10-05 |
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Speaker | Song-Ying Li |

Dept. | University of California at Irvine, USA |

Room | 27-325 |

Time | 15:00-16:00 |

In this talk, I will give a short survey on the sup-norm estimates for solutions of the Cauchy-Riemann equations. In particular, I will present a joint work with Dong and Treuer for the Cauchy-Riemann equations on the classical bounded symmetric domains, I will also present my recent work on sup-norm estimates for the canonical solution of the Cauchy-Riemann equations on the product domains with C^{ 1,α} boundary, which solves a problem posed by Kerzman in 1971. I will also connect the sup-norm estimate for the Cauchy-Riemann operator to Corona problem in several complex variables and introduce my recent work on it.

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