Analysis Seminar

Speaker: Debraj Chakrabarti (IIT Bombay)

"The Cauchy-Riemann equations on Product Domains"

Time: 15:30

Room: MC 108

We discuss some new results on existence and regularity of the $\overline{\partial}$-problem on product domains. It is shown that although the $\overline{\partial}$-Neumann operator is not compact, we can still obtain regularity estimates for the canonical solution in certain Sobolev spaces. This is joint work with Mei-Chi Shaw.