Document Type

Technical Report

Publication Date



In this paper, we will give a complete characterization of the invariant subspaces M (under ƒ → zƒ) of the Bergman space Lpa(G), 1 < p < 2, G an annulus, which contain the constant function 1. As an application of this result, we will characterize the invariant subspaces of the adjoint of multiplication by z on the Dirichlet spaces Dq, q > 2, as well as the invariant subspaces of the backward Bergman shift ƒ → (ƒ – ƒ(0))/z on Lpa(𝔻), 1 < p < 2.


Copyright © 1994, William T. Ross, University of Richmond, Richmond, Virginia.

Please note that downloads of the technical report are for private/personal use only.

Included in

Mathematics Commons