Seminar: Corona Problems and Sup-norm Estimates for ∂-bar

Time:

Venue/Location: Phòng C101, VIASM

Báo cáo viên: Song-Ying Li, University of California, Irvine

Abstract:In this talk, we will present the development of Corona problem in serval 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 ∂-bar to the corona problem. I also present the solution of Kerzman problem on the sup-norm estimate for ∂-bar on the product domains Ωn with Ω ⊂ C is a bounded domain with C^{1,α} boundary.