Operator theory from several complex variables perspective

Series: 
Analysis Seminar
Wednesday, April 3, 2013 - 2:00pm
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
University of Toledo
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.