Operator theory from several complex variables perspective

Analysis Seminar
Wednesday, April 3, 2013 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 005
Sonmez Sahutoglu – University of Toledo
Brett Wick
Complex analysis in several variables is very different from the one variable theory. Hence it is natural to expect that operator theory on Bergman spaces of pseudoconvex domains in $\mathbb{C}^n$ will be different from the one on the Bergman space on the unit disk. In this talk I will present several results that highlight this difference about compactness of Hankel operators. This is joint work with Mehmet Celik and Zeljko Cuckovic.