UR Scholarship Repository

Title

Bergman Spaces on an Annulus and the Backward Bergman Shift

Authors

William T. Ross, University of RichmondFollow

Document Type

Technical Report

Publication Date

7-20-1994

Abstract

In this paper, we will give a complete characterization of the invariant subspaces M (under ƒ → zƒ) of the Bergman space L^p_a(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 D_q, q > 2, as well as the invariant subspaces of the backward Bergman shift ƒ → (ƒ – ƒ(0))/z on L^p_a(𝔻), 1 < p < 2.

Comments

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

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Recommended Citation

William T. Ross. Bergman Spaces on an Annulus and the Backward Bergman Shift. Technical paper (TR-94-05). Math and Computer Science Technical Report Series. Richmond, Virginia: Department of Mathematics and Computer Science, University of Richmond, July, 1994.