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An integral formula in weighted Bergman spaces
by
Rachel Weir
Allegheny College
In order to establish the expansive multiplier property of extremal functions in the Bergman space Ap, Duren, Khavinson, Shapiro and Sundberg made use of an integral formula involving the biharmonic Green function. Using information about the structure of weighted biharmonic Green functions, we discuss the analogous integral formula in the standard weighted Bergman space Apa.
Date received: February 20, 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-64.