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A. Perälä, J. Taskinen, and J. A. Virtanen
New results and open problems on Toeplitz operators in Bergman spaces view print
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| Published: |
January 30, 2011 |
| Keywords: |
Toeplitz operators, Hankel operators, Bergman spaces, bounded operators, compact operators, Fredholm properties, matrix-valued symbols, distributions, weighted Sobolev spaces, radial symbols, open problems |
| Subject: |
47B35, 47A53, 30H20 |
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Abstract
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.
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| Acknowledgements
The first author was supported by The Finnish National Graduate School in Mathematics and its Applications. The second author was partially supported by the Academy of Finland project "Functional analysis and applications''. The third author was supported by a Marie Curie International Outgoing Fellowship within the 7th European Community Framework Programme.
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| Author information
A. Perälä:
Department of Mathematics and Statistics, P.O.Box 68, University of Helsinki, 00014 Helsinki, Finland
antti.i.perala@helsinki.fi
J. Taskinen:
Department of Mathematics and Statistics, P.O.Box 68, University of Helsinki, 00014 Helsinki, Finland
jari.taskinen@helsinki.fi
J. A. Virtanen:
Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, N.Y. 10012
virtanen@courant.nyu.edu
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