Cauchy Transform and the D-bar Equation on Product Domains
Document Type
Presentation
Location
Math Conference Room: College of Arts and Sciences
Start Date
19-2-2026 11:00 AM
End Date
19-2-2026 12:00 PM
Description
In this talk, I will briefly introduce the d-bar equation in complex analysis. Then I will introduce the construction of the integral solution operator to the equation on the product domain by using a "multi-Cauchy transform" method. We will study a bit of the regularity of the solution and apply this theory to the equation on the Hartogs triangle at the end. This is a joint work with Jeff McNeal.
Cauchy Transform and the D-bar Equation on Product Domains
Math Conference Room: College of Arts and Sciences
In this talk, I will briefly introduce the d-bar equation in complex analysis. Then I will introduce the construction of the integral solution operator to the equation on the product domain by using a "multi-Cauchy transform" method. We will study a bit of the regularity of the solution and apply this theory to the equation on the Hartogs triangle at the end. This is a joint work with Jeff McNeal.