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Southeastern Analysis Meeting
March 5-9, 2008
Vanderbilt University
Nashville, Tennessee, USA

Organizers
Brett Wick, Daoxing Xia, Dechao Zheng

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The Dixmier trace of Bergman space Hankel operators
by
Richard Rochberg
Washington University
Coauthors: Miroslav Englis (Prague)

If Hf is a (big) Hankel operator on the Bergman space of the disk with a smooth symbol f then we have the following formula for the Dixmier trace of its modulus:
Trw(|Hf|)=c ó
õ

∂D 
 |
∂
 
 f|dq.
I will describe some related results, say a bit about the proof of this result and about the range of f for which it holds.  I will also describe some extensions and variations of the result.

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Date received: January 29, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-25.