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Diagonal Toeplitz operators on weighted Bergman spaces
by
Trieu Le
University of Toronto
For any a > -1, let A2a(Bn) denote the corresponding weighted Bergman space of the unit ball in Cn. For a bounded measurable function f, let Tf denote the Toeplitz operator with symbol f. In this talk I will discuss some algebraic properties of Toeplitz operators which are diagonal with respect to the standard orthonormal basis of A2a(Bn). In particular, I will show that if Tf1...TfN=0, where all but possibly one of these operators are diagonal, then one of them must be zero.
Date received: January 31, 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-29.