Chennai Mathematical Institute


2:00 pm, Lecture Hall 5
Weighted $L^2$-Extension of holomorphic functions from singular hypersurfaces

Vamsi Pritham Pingali
Johns Hopkins University, U.S.A.


I shall speak about my results with Dror Varolin on the problem, "Given a holomorphic function (which is square-integrable with respect to some weighted measure) on a complex hypersurface of $\mathbb{C}^n$, extend it in a square-integrable manner to $\mathbb{C}^n$." The techniques used involve the $\bar \partial$ PDE.