New results and open problems on Toeplitz operators in Bergman spaces

Perälä, A., Taskinen, J. and Virtanen, J. A. (2011) New results and open problems on Toeplitz operators in Bergman spaces. New York Journal of Mathematics, 17a. pp. 147-164. ISSN 1076-9803

Abstract/Summary

We discuss some of the recent progress in the field of Toeplitz operators acting on Bergman spaces of the unit disk, formulate some new results, and describe a list of open problems -- concerning boundedness, compactness and Fredholm properties -- which was presented at the conference "Recent Advances in Function Related Operator Theory'' in Puerto Rico in March 2010.