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A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces |
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| Authors: | Duren Peter; Gallardo-Gutierrez Eva A; Montes-Rodriguez Alfonso |
| Institution: | Department of Mathematics University of Michigan Ann Arbor, MI 48109–1043 USA duren{at}umich.edu |
| Abstract: | An analogue of the Paley–Wiener theorem is developed forweighted Bergman spaces of analytic functions in the upper half-plane.The result is applied to show that the invariant subspaces ofthe shift operator on the standard Bergman space of the unitdisk can be identified with those of a convolution Volterraoperator on the space L2( +, (1/t)dt). |
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